Question 1

We say that the displacement of a particle is a vector quantity.Our best justification for this assertion is:

Accepted Answer

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 
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

Question 2

Let = (2 m)+ (6 m)- (3 m)and = (4 m)+ (2 m)+ (1 m).Then equals:

Accepted Answer

A) (8 m)+ (12 m)- (3 m) 
B) (12 m)− (14 m)- (20 m) 
C) 23 
D) 17 
E) none of these 
A) (8 m)+ (12 m)- (3 m) 
B) (12 m)− (14 m)- (20 m) 
C) 23 
D) 17 
E) none of these

Question 3

The angle between = −(25 m)+ (45 m)and the positive x axis is:

Accepted Answer

A) 29$\degree$ 
B) 61$\degree$ 
C) 119$\degree$ 
D) 151$\degree$ 
E) 209$\degree$ 
A) 29$\degree$ 
B) 61$\degree$ 
C) 119$\degree$ 
D) 151$\degree$ 
E) 209$\degree$

Question 4

If , then:

Accepted Answer

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$\degree$ 
E) none of the above is true 
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$\degree$ 
E) none of the above is true

Question 5

A vector of magnitude 20 is added to a vector of magnitude 25.The magnitude of this sum can be:

Accepted Answer

A) 0 
B) 3 
C) 12 
D) 47 
E) 50 
A) 0 
B) 3 
C) 12 
D) 47 
E) 50

Question 6

The vector is:

Accepted Answer

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 
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

Question 7

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:

Accepted Answer

A) 0 m 
B) 15 m 
C) 20 m 
D) 25 m 
E) 225 m 
A) 0 m 
B) 15 m 
C) 20 m 
D) 25 m 
E) 225 m

Question 8

Let .The magnitude of is:

Accepted Answer

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

Question 9

30° is

Accepted Answer

A) π/10 radians 
B) π/6 radians 
C) 1 radian 
D) π/2 radians 
E) π radians 
A) π/10 radians 
B) π/6 radians 
C) 1 radian 
D) π/2 radians 
E) π radians

Question 10

If and neither nor vanish, then:

Accepted Answer

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

Question 11

One radian is approximately

Accepted Answer

A) 10° 
B) 33° 
C) 57° 
D) 90° 
E) 180° 
A) 10° 
B) 33° 
C) 57° 
D) 90° 
E) 180°

Question 12

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

Accepted Answer

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 
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

Exam 3: Vector

We say that the displacement of a particle is a vector quantity.Our best justification for this assertion is:

Let = (2 m)+ (6 m)- (3 m)and = (4 m)+ (2 m)+ (1 m).Then equals:

The angle between = −(25 m)+ (45 m)and the positive x axis is:

If , then:

A vector of magnitude 20 is added to a vector of magnitude 25.The magnitude of this sum can be:

The vector is:

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:

Let .The magnitude of is:

30° is

If and neither nor vanish, then:

One radian is approximately

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

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