تكلم مع الذكاء الاصطناعي
Deck 11: Section 3: Vectors and the Geometry of Space
ملء الشاشة (f)
سؤال
Suppose a 48000-pound truck is parked on a 
slope as shown in the figure. Assume the only force to overcome is that due to gravity. Find the force perpendicular to the hill. Round your answer to one decimal place. 
A) 47,008.8 lb
B) 47,426.8 lb
C) 47,328.8 lb
D) 47,270.8 lb
E) 47,289.8 lb
slope as shown in the figure. Assume the only force to overcome is that due to gravity. Find the force perpendicular to the hill. Round your answer to one decimal place. A) 47,008.8 lb
B) 47,426.8 lb
C) 47,328.8 lb
D) 47,270.8 lb
E) 47,289.8 lb
سؤال
Determine whether u and v are orthogonal, parallel and pointing in the same direction, parallel and pointing in opposite directions, or neither. 
A) Orthogonal
B) Parallel, opposite direction
C) Parallel, same direction
D) Neither parallel nor orthogonal
A) Orthogonal
B) Parallel, opposite direction
C) Parallel, same direction
D) Neither parallel nor orthogonal
سؤال
Given 
and 
, find the vector component of u orthogonal to v.
A)
B)
C)
D)
E)
and , find the vector component of u orthogonal to v.A)
B)
C)
D)
E)
سؤال
Given 
and 
find 
.
A)
B)
C)
D)
E)
and find .A)
B)
C)
D)
E)
سؤال
Find the angle between the vectors for u and v given below. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Find the direction angles of the vector u given below. Round your answer to one decimal place. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
An object is pulled 5 feet horizontally across a floor, using a force of 95 pounds. The direction of the force is 
above the horizontal. Find the work done. Round your answer to two decimal places.
A) 467.78 ft-lb
B) 398.56 ft-lb
C) 82.48 ft-lb
D) 6.96 ft-lb
E) 511.94 ft-lb
above the horizontal. Find the work done. Round your answer to two decimal places.A) 467.78 ft-lb
B) 398.56 ft-lb
C) 82.48 ft-lb
D) 6.96 ft-lb
E) 511.94 ft-lb
سؤال
Suppose the vector 
gives the numbers of hamburgers, chicken sandwiches, and cheeseburgers, respectively, sold at a fast-food restaurant in one week. The vector 
gives the prices (in dollars) per unit for the three food items. Determine the total revenue that the restaurant earned on its three products for that week. Round your answer to two decimal places.
A) $12,079.58
B) $12,118.58
C) $24,138.16
D) $12,068.58
E) $24,136.16
gives the numbers of hamburgers, chicken sandwiches, and cheeseburgers, respectively, sold at a fast-food restaurant in one week. The vector gives the prices (in dollars) per unit for the three food items. Determine the total revenue that the restaurant earned on its three products for that week. Round your answer to two decimal places.A) $12,079.58
B) $12,118.58
C) $24,138.16
D) $12,068.58
E) $24,136.16
سؤال
Given 
, find 
.
A) -6
B) 12
C) -8
D) -2
E) 20
, find .A) -6
B) 12
C) -8
D) -2
E) 20
سؤال
Find the angle between the vectors for u and v. 
A) 8.13
B) 89.77
C) 81.87
D) 8.05
E) 12.33
A) 8.13
B) 89.77
C) 81.87
D) 8.05
E) 12.33
سؤال
Suppose a car is towed using a force of 1300 newtons. The chain used to pull the car makes a 
angle with the horizontal. Find the work done in towing the car 4 kilometers. Round your answer to two decimal places.
A) 9,426.60 km-N
B) 4,712.80 km-N
C) 4,726.80 km-N
D) 9,424.60 km-N
E) 2,197.61 km-N
angle with the horizontal. Find the work done in towing the car 4 kilometers. Round your answer to two decimal places.A) 9,426.60 km-N
B) 4,712.80 km-N
C) 4,726.80 km-N
D) 9,424.60 km-N
E) 2,197.61 km-N
سؤال
Determine whether u and v are orthogonal, parallel or neither. 
A) Parallel, same direction
B) Orthogonal
C) Neither parallel nor orthogonal
D) Parallel, opposite direction
A) Parallel, same direction
B) Orthogonal
C) Neither parallel nor orthogonal
D) Parallel, opposite direction
سؤال
Suppose a toy wagon is pulled by exerting a force of 25 pounds on a handle that makes a 
angle with the horizontal as shown in the figure below. Find the work done in pulling the wagon 50 feet. Round your answer to one decimal place. 
A) 1,200.0 ft-lb
B) 427.5 ft-lb
C) 2,350.2 ft-lb
D) 1,174.6 ft-lb
E) 2,348.2 ft-lb
angle with the horizontal as shown in the figure below. Find the work done in pulling the wagon 50 feet. Round your answer to one decimal place. A) 1,200.0 ft-lb
B) 427.5 ft-lb
C) 2,350.2 ft-lb
D) 1,174.6 ft-lb
E) 2,348.2 ft-lb
سؤال
Find the direction cosines of the vector u given below. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Suppose a 58000-pound truck is parked on a 
slope as shown in the figure. Assume the only force to overcome is that due to gravity. Find the force required to keep the truck from rolling down the hill. Round your answer to two decimal places. 
A) 29,000.00 lb
B) 28,615.00 lb
C) 29,135.00 lb
D) 29,056.00 lb
E) 29,011.00 lb
slope as shown in the figure. Assume the only force to overcome is that due to gravity. Find the force required to keep the truck from rolling down the hill. Round your answer to two decimal places. A) 29,000.00 lb
B) 28,615.00 lb
C) 29,135.00 lb
D) 29,056.00 lb
E) 29,011.00 lb
سؤال
Given 
and 
find 
.
A) -8
B) -4
C) 4
D) 7
E) -1
and find .A) -8
B) -4
C) 4
D) 7
E) -1
سؤال
Find the direction cosines of the vector u given below. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Given 
and 
, find the projection of u onto v.
A)
B)
C)
D)
E)
and , find the projection of u onto v.A)
B)
C)
D)
E)
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العب
ملء الشاشة (f)
Deck 11: Section 3: Vectors and the Geometry of Space
1
Suppose a 48000-pound truck is parked on a slope as shown in the figure. Assume the only force to overcome is that due to gravity. Find the force perpendicular to the hill. Round your answer to one decimal place.
A) 47,008.8 lb
B) 47,426.8 lb
C) 47,328.8 lb
D) 47,270.8 lb
E) 47,289.8 lb
slope as shown in the figure. Assume the only force to overcome is that due to gravity. Find the force perpendicular to the hill. Round your answer to one decimal place. A) 47,008.8 lb
B) 47,426.8 lb
C) 47,328.8 lb
D) 47,270.8 lb
E) 47,289.8 lb
47,270.8 lb
2
Determine whether u and v are orthogonal, parallel and pointing in the same direction, parallel and pointing in opposite directions, or neither.
A) Orthogonal
B) Parallel, opposite direction
C) Parallel, same direction
D) Neither parallel nor orthogonal
A) Orthogonal
B) Parallel, opposite direction
C) Parallel, same direction
D) Neither parallel nor orthogonal
Neither parallel nor orthogonal
3
Given and , find the vector component of u orthogonal to v.
A)
B)
C)
D)
E)
and , find the vector component of u orthogonal to v.A)
B)
C)
D)
E)
4
Given and find .
A)
B)
C)
D)
E)
and find .A)
B)
C)
D)
E)
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5
Find the angle between the vectors for u and v given below.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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6
Find the direction angles of the vector u given below. Round your answer to one decimal place.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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7
An object is pulled 5 feet horizontally across a floor, using a force of 95 pounds. The direction of the force is above the horizontal. Find the work done. Round your answer to two decimal places.
A) 467.78 ft-lb
B) 398.56 ft-lb
C) 82.48 ft-lb
D) 6.96 ft-lb
E) 511.94 ft-lb
above the horizontal. Find the work done. Round your answer to two decimal places.A) 467.78 ft-lb
B) 398.56 ft-lb
C) 82.48 ft-lb
D) 6.96 ft-lb
E) 511.94 ft-lb
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8
Suppose the vector gives the numbers of hamburgers, chicken sandwiches, and cheeseburgers, respectively, sold at a fast-food restaurant in one week. The vector gives the prices (in dollars) per unit for the three food items. Determine the total revenue that the restaurant earned on its three products for that week. Round your answer to two decimal places.
A) $12,079.58
B) $12,118.58
C) $24,138.16
D) $12,068.58
E) $24,136.16
gives the numbers of hamburgers, chicken sandwiches, and cheeseburgers, respectively, sold at a fast-food restaurant in one week. The vector gives the prices (in dollars) per unit for the three food items. Determine the total revenue that the restaurant earned on its three products for that week. Round your answer to two decimal places.A) $12,079.58
B) $12,118.58
C) $24,138.16
D) $12,068.58
E) $24,136.16
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9
Given , find .
A) -6
B) 12
C) -8
D) -2
E) 20
, find .A) -6
B) 12
C) -8
D) -2
E) 20
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10
Find the angle between the vectors for u and v.
A) 8.13
B) 89.77
C) 81.87
D) 8.05
E) 12.33
A) 8.13
B) 89.77
C) 81.87
D) 8.05
E) 12.33
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11
Suppose a car is towed using a force of 1300 newtons. The chain used to pull the car makes a angle with the horizontal. Find the work done in towing the car 4 kilometers. Round your answer to two decimal places.
A) 9,426.60 km-N
B) 4,712.80 km-N
C) 4,726.80 km-N
D) 9,424.60 km-N
E) 2,197.61 km-N
angle with the horizontal. Find the work done in towing the car 4 kilometers. Round your answer to two decimal places.A) 9,426.60 km-N
B) 4,712.80 km-N
C) 4,726.80 km-N
D) 9,424.60 km-N
E) 2,197.61 km-N
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12
Determine whether u and v are orthogonal, parallel or neither.
A) Parallel, same direction
B) Orthogonal
C) Neither parallel nor orthogonal
D) Parallel, opposite direction
A) Parallel, same direction
B) Orthogonal
C) Neither parallel nor orthogonal
D) Parallel, opposite direction
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13
Suppose a toy wagon is pulled by exerting a force of 25 pounds on a handle that makes a angle with the horizontal as shown in the figure below. Find the work done in pulling the wagon 50 feet. Round your answer to one decimal place.
A) 1,200.0 ft-lb
B) 427.5 ft-lb
C) 2,350.2 ft-lb
D) 1,174.6 ft-lb
E) 2,348.2 ft-lb
angle with the horizontal as shown in the figure below. Find the work done in pulling the wagon 50 feet. Round your answer to one decimal place. A) 1,200.0 ft-lb
B) 427.5 ft-lb
C) 2,350.2 ft-lb
D) 1,174.6 ft-lb
E) 2,348.2 ft-lb
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14
Find the direction cosines of the vector u given below.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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15
Suppose a 58000-pound truck is parked on a slope as shown in the figure. Assume the only force to overcome is that due to gravity. Find the force required to keep the truck from rolling down the hill. Round your answer to two decimal places.
A) 29,000.00 lb
B) 28,615.00 lb
C) 29,135.00 lb
D) 29,056.00 lb
E) 29,011.00 lb
slope as shown in the figure. Assume the only force to overcome is that due to gravity. Find the force required to keep the truck from rolling down the hill. Round your answer to two decimal places. A) 29,000.00 lb
B) 28,615.00 lb
C) 29,135.00 lb
D) 29,056.00 lb
E) 29,011.00 lb
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16
Given and find .
A) -8
B) -4
C) 4
D) 7
E) -1
and find .A) -8
B) -4
C) 4
D) 7
E) -1
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17
Find the direction cosines of the vector u given below.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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18
Given and , find the projection of u onto v.
A)
B)
C)
D)
E)
and , find the projection of u onto v.A)
B)
C)
D)
E)
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