Deck 1: Vectors and Mesurement

Question 1

The vectors , ,and are related by . Which diagram below illustrates this relationship?

A) I.
B) II.
C) III.
D) IV.
E) None of these

Answer 1

IV.

Question 2

A vector of magnitude 6 and another vector have a resultant of magnitude 12. The vector :

A) must have a magnitude of at least 6 but no more than 18
B) may have a magnitude of 20
C) cannot have a magnitude greater than 12
D) must be perpendicular to
E) must be perpendicular to the resultant vector

Answer 2

must have a magnitude of at least 6 but no more than 18

Question 3

The vector is:

A) greater than in magnitude
B) less than in magnitude
C) in the same direction as
D) in the direction opposite to
E) perpendicular to

Answer 3

in the direction opposite to

Question 4

The vector in the diagram is equal to:

A)
B)
C)
D)
E)

Question 5

If , then:

A) must be parallel and in the same direction
B) must be parallel and in opposite directions
C) either must be zero
D) the angle between must be 60 $\degree$
E) none of the above is true

Question 6

If and neither vanish, then:

A) are parallel and in the same direction
B) are parallel and in opposite directions
C) the angle between is 45 $\degree$
D) the angle between is 60 $\degree$
E) is perpendicular to

Question 7

If and neither vanish, then:

A) are parallel and in the same direction
B) are parallel and in opposite directions
C) the angle between is 45 $\degree$
D) the angle between is 60 $\degree$
E) is perpendicular to

Question 8

Four vectors all have the same magnitude. The angle $\degree$ between adjacent vectors is 45 $\degree$ as shown. The correct vector equation is:

A)
B)
C)
D)
E)

Question 9

Vectors lie in the xy plane. We can deduce that if:

A) A_x² + A_y² = B_x² + B_y²
B) A_x + A_y = B_x + B_y
C) A_x = B_x and A_y = B_y
D) A_y /A_x = B_y /B_x
E) A_x = A_y and B_x = B_y

Question 10

If then has magnitude:

A) 10 m
B) 20 m
C) 30 m
D) 40 m
E) 50 m

Question 11

Let The magnitude of is:

A) 5.00
B) 5.57
C) 7.00
D) 7.42
E) 8.54

Question 12

Let The vector sum is:

A)
B)
C)
D)
E) none of these

Question 13

Let The vector difference is:

A)
B)
C)
D)
E) none of these

Question 14

If

A)
B)
C)
D)
E)

Question 15

In the diagram, has magnitude 12 and has magnitude 8. The x component of is about:

A) 5.5 m
B) 7.6 m
C) 12 m
D) 14 m
E) 15 m

Question 16

Let Then equals:

A)
B)
C) 23
D) 17
E) none of these

Question 17

The value of is:

A) zero
B) +1
C) -1
D) 3
E)

Question 18

The value of is:

A) zero
B) +1
C) -1
D) 3
E)

Question 19

(7.0 x10⁶)/(2.0 x10^-6) =

A) 3.5 x 10^-12
B) 3.5x 10^-6
C) 3.5
D) 3.5 x 10⁶
E) 3.5 x10¹²

Question 20

A right circular cylinder with a radius of 2.3 cm and a height of 1.4 m has a volume of:

A) 0.20 m³
B) 0.14 m³
C) 9.3 x 10^-3 m³
D) 2.3 x 10^-3 m³
E) 7.4 x 10^-4 m³

Question 21

3.2 x 2.7 =

A) 9
B) 8
C) 8.6
D) 8.64
E) 8.640

Question 22

1.513 + 27.3 =

A) 29
B) 28.8
C) 28.9
D) 28.81
E) 28.813