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In this lesson, we will learn how to find the components of a given two-dimensional vector.

Q1:

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 ?

Q2:

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

Q3:

Q4:

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

Q5:

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

Q6:

Q7:

Q8:

Consider the vector in the given diagram.

What are the coordinates of its terminal point?

What are the coordinates of its initial point?

What are the components of the vector?

Q9:

Q10:

Q11:

Q12:

Q13:

Q14:

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 ?

Q15:

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

Q16:

π is the origin point of a system of perpendicular Cartesian coordinates in a plane. β πΉ = ( β 9 , 6 ) is acting at π in the direction of ο« π π and ο« π π . Find the two components of β πΉ in the direction of the two axes.

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