Find the direction angle of the vector v 6i 4j That is fin

Find the direction angle of the vector v = -6i - 4j. That is, find the angle between 0 degree and 360 degree that v makes with the positive x-axis (measured counterclockwise), when v is in standard position. Do not round any intermediate computations, and round your answer to the nearest whole number.

Solution

To find the direction we have to use tan theta=y/x

here vector v=-6i-4j

Here both x and y components are negative. It means the given vector is in third quadrant

therefore tan theta= -4/-6

theta= tan^-1(-4/-6) = 213.69 degree