Question

Look at the vector r plotted below

What is the correct answer to describe this vector?


A. r = 3x + 2y

B. r = 2x + 3y

C. r = x + y

D. r = 3x - 2y

Answer 1

Answer: option A. r = 3x+2y

Explanation:

Vector r is plotted on the graph. On x-axis each small division corresponds to 1 unit. Similarly on y-axis, each small division corresponds to one unit.

The vector is the resultant of addition of its x and y components. we would draw perpendicular to the x-axis and y-axis from the head of vector r.

On x-axis,
`r_x` = +3 units

on y-axis,
`r_y` = +2 units

`r = r_x+r_y`

Hence, vector r can be written as: r = 3x + 2y . Correct option is A.