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DP IB Physics: HL

Topic Questions

Home / IB / Physics: HL / DP / Topic Questions / 1. Measurement & Uncertainties / 1.3 Vectors & Scalars / Multiple Choice

1.3 Vectors & Scalars

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Question 1

Marks: 1

Velocity is a vector quantity, so can be represented by a vector arrow. Which quantity is represented by the length of its vector arrow?

Speed
Magnitude
Acceleration
Distance

Key Concepts

Vector & Scalar Quantities

Question 2

Marks: 1

Which of the following represents correct vector and scalar quantities?

	vectors	scalars
A.	Electric charge	Weight
B.	Impulse	Current
C.	Temperature	Pressure
D.	Time	Work done

Key Concepts

Vector & Scalar Quantities

Question 3

Marks: 1

Which of the following represents the correct values of the x-component and y-component of the vector -F ?

q13_vectors--scalars_ib-sl-physics-mcq

	x-component	y-component
A.	–F sin θ	–F cos θ
B.	–F cos θ	–F tan θ
C.	F sin θ	–F cos θ
D.	–F cos θ	–F sin θ

Key Concepts

Combining & Resolving Vectors

Question 4

Marks: 1

The magnitude of a is 15 N and that of b is 30 N.

q14_vectors--scalars_ib-sl-physics-mcq

Which of the following represents the correct resultant horizontal and vertical components of the vectors in the diagram?

	Horizontal Component	Vertical Component
A.	15 $\sqrt{3}$ – 7.5 $\sqrt{2}$ N	15 – 7.5 $\sqrt{2}$ N
B.	15 $\sqrt{3}$ – 7.5 $\sqrt{2}$ º	–15 – 7.5 $\sqrt{2}$ º
C.	15 $\sqrt{3}$ – 7.5 $\sqrt{2}$ N	–15 – 7.5 $\sqrt{2}$ N
D.	–15 – 7.5 $\sqrt{2}$ N	15 – 7.5 $\sqrt{2}$ N

You may use the fact that:

cos(30) = $\frac{\sqrt{3}}{2}$ and cos(45) = $\frac{\sqrt{2}}{2}$

sin(30) = $\frac{1}{2}$ and sin(45) = $\frac{\sqrt{2}}{2}$

Key Concepts

Combining & Resolving Vectors

Question 5

Marks: 1

The diagram shows vector p. q15_vectors--scalars_ib-sl-physics-mcq

In which of the following diagrams is vector p multiplied by a scalar represented?

q15-opt_vectors--scalars_ib-sl-physics-mcq

1 and 4
2 only
2 and 4
1 only

Key Concepts

Combining & Resolving Vectors

Question 6

Marks: 1

In which of the following diagrams is the addition of vectors x and y represented?

q16_vectors--scalars_ib-sl-physics-mcq q16_2_vectors--scalars_ib-sl-physics-mcq

Key Concepts

Combining & Resolving Vectors

Question 7

Marks: 1

In which of the following diagrams is q – p represented correctly?

q17_vectors--scalars_ib-sl-physics-mcq q17_2_vectors--scalars_ib-sl-physics-mcq

Key Concepts

Combining & Resolving Vectors

Question 8

Marks: 1

The arrow represents the vector R.

q18_1_vectors--scalars_ib-sl-physics-mcq

Which diagram does not represent R as two perpendicular components?

q18_2_vectors--scalars_ib-sl-physics-mcq

Key Concepts

Combining & Resolving Vectors

Question 9

Marks: 1

Three forces act on a body as shown.

q19_1_vectors--scalars_ib-sl-physics-mcq

Which fourth force is required so that the resultant force is zero?

q19_2_vectors--scalars_ib-sl-physics-mcq

Key Concepts

Combining & Resolving Vectors

Question 10

Marks: 1

A rectangular object sits at rest on a plane inclined at angle to the horizontal.

q20_vectors--scalars_ib-sl-physics-mcq

R is the normal force, W is the weight and F is friction.

Which row correctly labels R and F in terms of mass m and acceleration due to gravity g.

	R	F
A.	mg	mg
B.	mg cos θ	0
C.	mg sin θ	mg cos θ
D.	mg cos θ	mg sin θ

Key Concepts

Solving Vector Problems

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