Question

Find the magnitude and direction (in degrees) of the vector: v= 〈-√2/2,-√2/2〉

Answer 1

Magnitude is sqrt ( -sqrt2/2 ^2 + -sqrt2/2 ^2)
= sqrt (0.5 + 0.5)
= 1
The vector is in the third quadrant and its tangent = 1 so the angle is 180 + 45
= 225 degrees