Question 1

Find an equation for the surface obtained by rotating the parabola  about the y-axis.

Accepted Answer

The answer of Find an equation for the surface obtained...

Question 2

Find correct to three decimal places where

Accepted Answer

The answer of Find correct to three decimal places where...

Question 3

Find the length of each side of the triangle ABC and determine whether the triangle is an isosceles triangle, a right triangle, both, or neither.Select the correct AnswerA (-1, 0, 1), B (1, 1, -1), C (1, 1, 1)
A)1, 2,  neither
B)1, 1,  isosceles
C)1, 1,  both
D)3, 2,  right

Accepted Answer

2186.0

Question 4

Find the unit vectors that are parallel to the tangent line to the curve  at the point

Accepted Answer

The answer of Find the unit vectors that are parallel...

Question 5

Find parametric equations for the line through the point  that is parallel to the plane  and perpendicular to the line  Select the correct Answer
A) 
B) 
C) 
D) 
E)

Accepted Answer

2201.0

Question 6

Find the work done by a force  that moves an object from the point  to the point  along a straight line.The distance is measured in meters and the force in newtons.Select the correct Answer
A) 
B) 
C) 
D) 
E)

Accepted Answer

2192.0

Question 7

Find the midpoint of the line segment joining the given points.Select the correct Answer(3, 1, 4) and (5, -1, 6) 
A) 
B) 
C)(4, 0, 5)
D)

Accepted Answer

2189.0

Question 8

Find the center and the radius of the sphere that has the given equation.

Accepted Answer

The answer of Find the center and the radius of...

Question 9

Find, correct to the nearest degree, the angle between the planes.

Accepted Answer

The answer of Find, correct to the nearest degree, the...

Question 10

Find an equation of the set of all points equidistant from the points  and

Accepted Answer

The answer of Find an equation of the set of...

Question 11

Find the cross product

Accepted Answer

The answer of Find the cross product  ...

Question 12

Find the distance (correct to two decimal places) between the given parallel planes.

Accepted Answer

The answer of Find the distance (correct to two decimal...

Question 13

Find an equation for the surface consisting of all points that are equidistant from the point  and the plane

Accepted Answer

The answer of Find an equation for the surface consisting...

Question 14

Sketch the plane in a three-dimensional space represented by the equation.

Accepted Answer

The answer of Sketch the plane in a three-dimensional space...

Question 15

Find the point at which the line given by the parametric equations below intersects the plane.  Select the correct Answer
A) 
B) 
C) 
D) 
E)

Accepted Answer

2199.0

Question 16

Find that the midpoint of the line segment from

Accepted Answer

The answer of Find that the midpoint of the line...

Question 17

Let  and let u be a vector with length  that starts at the origin and rotates in the xy - plane.Find the maximum value of the length of the vector  Select the correct Answer
A) 
B) 
C) 
D) 
E)

Accepted Answer

2195.0

Question 18

Classify the surface.  Select the correct Answer
A)A hyperboloid of one sheet with center  and axis parallel to the 
B)A circular paraboloid with vertex  and axis the 
C)A cone with axis parallel to the  -axis and vertex

Accepted Answer

2204.0

Question 19

Find the distance from  to the xy-planes.

Accepted Answer

The answer of Find the distance from  to the...

Question 20

Calculate the angle between a and b (correct to the nearest degree).

Accepted Answer

The answer of Calculate the angle between a and b...

Quiz 12: Vectors and the Geometry of Space

Find an equation for the surface obtained by rotating the parabola about the y-axis.

Find correct to three decimal places where

Find the length of each side of the triangle ABC and determine whether the triangle is an isosceles triangle, a right triangle, both, or neither.Select the correct AnswerA (-1, 0, 1) , B (1, 1, -1) , C (1, 1, 1)

Find the unit vectors that are parallel to the tangent line to the curve at the point

Find parametric equations for the line through the point that is parallel to the plane and perpendicular to the line Select the correct Answer

Find the work done by a force that moves an object from the point to the point along a straight line.The distance is measured in meters and the force in newtons.Select the correct Answer

Find the midpoint of the line segment joining the given points.Select the correct Answer(3, 1, 4) and (5, -1, 6)

Find the center and the radius of the sphere that has the given equation.

Find, correct to the nearest degree, the angle between the planes.

Find an equation of the set of all points equidistant from the points and

Find the cross product

Find the distance (correct to two decimal places) between the given parallel planes.

Find an equation for the surface consisting of all points that are equidistant from the point and the plane

Sketch the plane in a three-dimensional space represented by the equation.

Find the point at which the line given by the parametric equations below intersects the plane. Select the correct Answer

Find that the midpoint of the line segment from

Let and let u be a vector with length that starts at the origin and rotates in the xy - plane.Find the maximum value of the length of the vector Select the correct Answer

Classify the surface. Select the correct Answer

Find the distance from to the xy-planes.

Calculate the angle between a and b (correct to the nearest degree).