Look at the vector r plotted belowwhat is the correct answer to describe this vector? a. r = 3x + 2yb. r = 2x + 3yc. r = x + yd. r = 3x - 2y

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, = +3 units

on y-axis, = +2 units

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

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