# Worksheet: Components of a Vector

In this worksheet, we will practice finding the components of a given two-dimensional vector.

Q1:

The components of the vector are as the terminal point of the vector is 2 units right of the initial point and units up (1 unit down) from the initial point. What are the components of the vector ?

• A
• B
• C
• D
• E

Q2:

is the origin point of a system of perpendicular Cartesian coordinates in a plane. is acting at in the direction of and . Find the two components of in the direction of the two axes.

• A3 units in the direction of , 15 units in the direction of
• B9 units in the direction of , 6 units in the direction of
• C9 units in the direction of , 6 units in the direction of
• D9 units in the direction of , 6 units in the direction of

Q3:

The components of the vector are as the terminal point of the vector is units right (2 units left) of the initial point and 1 unit up from the initial point. What are the components of the vector ?

• A
• B
• C
• D
• E

Q4:

A body moved 190 cm due east, where and are two unit vectors in the east and north directions, respectively. Express its displacement in terms of the two unit vectors and .

• A cm
• B cm
• C cm
• D cm

Q5:

The components of the vector are as the terminal point of the vector is units right (2 units left) of the initial point and 1 unit up from the initial point. What are the components of the vector ?

• A
• B
• C
• D
• E

Q6:

The components of the vector are as the terminal point of the vector is units right (1 unit left) of the initial point and units up (2 units down) from the initial point. What are the components of the vector ?

• A
• B
• C
• D
• E

Q7:

Find the components of the vector shown on the grid of unit squares below.

• A
• B
• C
• D
• E

Q8:

The components of the vector are as the terminal point of the vector is units right (1 unit left) of the initial point and units up (2 units down) from the initial point. What are the components of the vector ?

• A
• B
• C
• D
• E

Q9:

Find the components of the vector shown on the grid of unit squares below.

• A
• B
• C
• D
• E

Q10:

Find the components of the vector shown on the grid of unit squares below.

• A
• B
• C
• D
• E

Q11:

Find the components of the vector shown on the grid of unit squares below.

• A
• B
• C
• D
• E

Q12:

Find the components of the vector shown on the grid of unit squares below.

• A
• B
• C
• D
• E

Q13:

Consider the vector in the given diagram.

What are the coordinates of its terminal point?

• A
• B
• C
• D
• E

What are the coordinates of its initial point?

• A
• B
• C
• D
• E

What are the components of the vector?

• A
• B
• C
• D
• E

Q14:

Consider the vector in the given diagram.

What are the coordinates of its terminal point?

• A
• B
• C
• D
• E

What are the coordinates of its initial point?

• A
• B
• C
• D
• E

What are the components of the vector?

• A
• B
• C
• D
• E

Q15:

Consider the vector in the given diagram.

What are the coordinates of its terminal point?

• A
• B
• C
• D
• E

What are the coordinates of its initial point?

• A
• B
• C
• D
• E

What are the components of the vector?

• A
• B
• C
• D
• E

Q16:

Consider the vector in the given diagram.

What are the coordinates of its terminal point?

• A
• B
• C
• D
• E

What are the coordinates of its initial point?

• A
• B
• C
• D
• E

What are the components of the vector?

• A
• B
• C
• D
• E

Q17:

The initial point of the vector shown in the diagram is the origin, .

What are the coordinates of its terminal point?

• A
• B
• C
• D
• E

What are the components of the vector?

• A
• B
• C
• D
• E

Q18:

What is the name given to the vector ?

• Athe empty vector
• Bthe origin vector
• Cthe unit vector
• Dthe zero vector

Q19:

Consider the vector in the given diagram.

What are the coordinates of its terminal point?

• A
• B
• C
• D
• E

What are the coordinates of its initial point?

• A
• B
• C
• D
• E

What are the components of the vector?

• A
• B
• C
• D
• E

Q20:

Find the components of the vector shown on the grid of unit squares below.

• A
• B
• C
• D
• E

Q21:

Is it true that two vectors with the same components are always equivalent?

• Ano
• Byes

Q22:

The components of the vector are as the terminal point of the vector is 1 unit right of the initial point and 2 units up from the initial point. What are the components of the vector ?

• A
• B
• C
• D
• E

Q23:

Consider the vector in the given diagram.

What are the coordinates of its terminal point?

• A
• B
• C
• D
• E

What are the coordinates of its initial point?

• A
• B
• C
• D
• E

What are the components of the vector?

• A
• B
• C
• D
• E

Q24:

Find the components of the vector .

• A
• B
• C
• D
• E

Q25:

Find the components of the vector shown on the grid of unit squares below.

• A
• B
• C
• D
• E