Find the magnitude and direction angle for each vector. Give the measure of the direction angle as an angle in [0,360].

Question

<5sqrt2,-5sqrt2>

Answer 1

|v| = √(5√2)^2 + (5√2)^2) = √(50+50) = 10
tanθ = y/x = -5√2 / 5√2 = -1
θ = -45°

Plot the point and you can easily see that this is so.