# Quiz 3: Vector

Physics & Astronomy

Q 1Q 1

We say that the displacement of a particle is a vector quantity.Our best justification for this assertion is:
A)displacement can be specified by a magnitude and a direction
B)operating with displacements according to the rules for manipulating vectors leads to results in agreement with experiments
C)a displacement is obviously not a scalar
D)displacement can be specified by three numbers
E)displacement is associated with motion

Free

Multiple Choice

B

Q 2Q 2

A vector of magnitude 3 CANNOT be added to a vector of magnitude 4 so that the magnitude of the resultant is:
A)0
B)1
C)3
D)5
E)7

Free

Multiple Choice

A

Q 3Q 3

A vector of magnitude 20 is added to a vector of magnitude 25.The magnitude of this sum can be:
A)0
B)3
C)12
D)47
E)50

Free

Multiple Choice

C

Q 4Q 4

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

Free

Multiple Choice

Q 5Q 5

If , then:
A)and must be parallel and in the same direction
B)and must be parallel and in opposite directions
C)it must be true that either or is zero
D)the angle between and must be 60
E)none of the above is true

Free

Multiple Choice

Q 6Q 6

If and neither nor vanish, then:
A)and are parallel and in the same direction
B)and are parallel and in opposite directions
C)the angle between and is 45
D)the angle between and is 60
E)is perpendicular to

Free

Multiple Choice

Q 7Q 7

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

Free

Multiple Choice

Q 8Q 8

The vectors , , and are related by .Which diagram below illustrates this relationship?
A)I.
B)II.
C)III.
D)IV.
E)None of these

Free

Multiple Choice

Q 9Q 9

If and neither nor vanish, then:
A)and are parallel and in the same direction
B)and are parallel and in opposite directions
C)the angle between and is 45
D)the angle between and is 60
E)is perpendicular to

Free

Multiple Choice

Q 10Q 10

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

_{x}^{2}+ A_{y}^{2}= B_{x}^{2}+ B_{y}^{2}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 }Free

Multiple Choice

Free

Multiple Choice

Free

Multiple Choice

Q 13Q 13

A vector has a component of 10 m in the +x direction, a component of 10 m in the +y direction, and a component of 5 m in the +z direction.The magnitude of this vector is:
A)0 m
B)15 m
C)20 m
D)25 m
E)225 m

Free

Multiple Choice

Free

Multiple Choice

Q 15Q 15

A vector in the xy plane has a magnitude of 25 and an x component of 12.The angle it makes with the positive x axis is:
A)26
B)29
C)61
D)64
E)241

Free

Multiple Choice

Q 16Q 16

The angle between = (25 m)+ (45 m)and the positive x axis is:
A)29
B)61
C)151
D)209
E)241

Free

Multiple Choice

Q 17Q 17

The angle between = −(25 m)+ (45 m)and the positive x axis is:
A)29
B)61
C)119
D)151
E)209

Free

Multiple Choice

Q 18Q 18

Let = (2 m)+ (6 m)- (3 m)and = (4 m)+ (2 m)+ (1 m).The vector sum is:
A)(6 m)+ (8 m)- (2 m)
B)(−2 m)+ (4 m)- (4 m)
C)(2 m)− (4 m)+ (4 m)
D)(8 m)+ (12 m)- (3 m)
E)none of these

Free

Multiple Choice

Q 19Q 19

Let = (2 m)+ (6 m)- (3 m)and = (4 m)+ (2 m)+ (1 m).The vector difference is:
A)(6 m)+ (8 m)- (2 m)
B)(−2 m)+ (4 m)- (4 m)
C)(2 m)− (4 m)+ (4 m)
D)(8 m)+ (12 m)- (3 m)
E)none of these

Free

Multiple Choice

Q 20Q 20

If = (2 m)− (3 m)and = (1 m)− (2 m), then =
A)(1 m)
B)(−1 m)
C)(4 m)− (7 m)
D)(4 m)+ (1 m)
E)(−4 m)+ (7 m)

Free

Multiple Choice

Q 21Q 21

In the diagram, has magnitude 12 m and has magnitude 8 m.The x component of is about:
A)1.5 m
B)4.5 m
C)12 m
D)15 m
E)20 m

Free

Multiple Choice

Q 22Q 22

A certain vector in the xy plane has an x component of 4 m and a y component of 10 m.It is then rotated in the xy plane so its x component is doubled.Its new y component is about:
A)20 m
B)7.2 m
C)5.0 m
D)4.5 m
E)2.2 m

Free

Multiple Choice

Free

Multiple Choice

Q 24Q 24

Which of the following is correct?
A)Multiplying a vector by a scalar gives a scalar result.
B)Multiplying a vector by a vector always gives a vector result.
C)Multiplying a vector by a vector never gives a scalar result.
D)The only type of vector multiplication that gives a scalar result is the dot product.
E)The only type of vector multiplication that gives a vector result is the cross product.

Free

Multiple Choice

Q 25Q 25

Let = (2 m)+ (6 m)- (3 m)and = (4 m)+ (2 m)+ (1 m).Then equals:
A)(8 m)+ (12 m)- (3 m)
B)(12 m)− (14 m)- (20 m)
C)23
D)17
E)none of these

Free

Multiple Choice

Q 26Q 26

Two vectors lie with their tails at the same point.When the angle between them is increased by 20 their scalar product has the same magnitude but changes from positive to negative.The original angle between them was:
A)0°
B)60
C)70
D)80
E)90

Free

Multiple Choice

Q 27Q 27

Let = (1 m)+ (2 m)+ (2 m)and = (3 m)+ (4 m).The angle between these two vectors is given by:
A)cos

^{-1}(14/15) B)cos^{-1}(11/225) C)cos^{-1}(104/225) D)cos^{-1}(11/15) E)cannot be found since and do not lie in the same planeFree

Multiple Choice

Q 28Q 28

Two vectors have magnitudes of 10 and 15.The angle between them when they are drawn with their tails at the same point is 65.The component of the longer vector along the line of the shorter is:
A)0
B)4.2
C)6.3
D)9.1
E)14

Free

Multiple Choice

Q 29Q 29

If the magnitude of the sum of two vectors is less than the magnitude of either vector, then:
A)the scalar product of the vectors must be negative
B)the scalar product of the vectors must be positive
C)the vectors must be parallel and in opposite directions
D)the vectors must be parallel and in the same direction
E)none of the above

Free

Multiple Choice

Q 30Q 30

If the magnitude of the sum of two vectors is greater than the magnitude of either vector, then:
A)the scalar product of the vectors must be negative
B)the scalar product of the vectors must be positive
C)the vectors must be parallel and in opposite directions
D)the vectors must be parallel and in the same direction
E)none of the above

Free

Multiple Choice

Q 31Q 31

Two vectors lie with their tails at the same point.When the angle between them is increased by 20 the magnitude of their vector product doubles.The original angle between them was about:
A)0°
B)18
C)25
D)45
E)90

Free

Multiple Choice

Q 32Q 32

The two vectors (3 m)− (7 m)and (2 m)+ (3 m)− (2 m)define a plane (it is the plane of the triangle with both tails at one vertex and each head at one of the other vertices).Which of the following vectors is perpendicular to the plane?
A)(14 m)+ (6 m)+ (23 m)
B)(−14 m)+ (6 m)+ (23 m)
C)(14 m)− (6 m)+ (23 m)
D)(14 m)+ (6 m)− (23 m)
E)(14 m)+ (6 m)

Free

Multiple Choice