Vector v has a direction of (-5,26). Find the direction angle for v.

a. 280.9 degrees

b. 259.1 degrees

c. 100.9 degrees

d. 79.1 degrees

Do you have the answers for the vectors test?

Since you are trying to find the direction you have to use

tan theta = y/x

tan theta = 26/-5

theta = tan^-1I26/-5I

theta = 79.11 degrees but since (-5,26) is found in the second quadrant you have to substract 180 - a to obtain the direction angle

theta = 180 - a

=180 - 79.11

theta = 100.88 degrees

vector v has a direction angle of 100.88 degrees