Find the magnitude of the vector given below Also find the m

Find the magnitude of the vector given below. Also find the measure (in degrees) of the acute angle theta formed by the vector and the x-axis. Do not round any intermediate computations, and round your responses to 2 decimal places. magnitude of the vector: theta = degree

Solution

From the graph, we can say that the terminal point is (-5,-8)

Therefore magnitude = sqrt(-5²+-8²) = sqrt 89=9.43

theta= tan^-1(8/5) = 57.99 degree