The x component of vector is -27.3 m and the y component is +43.6 m. (a) what is the magnitude of ? (b) what is the angle between the direction of and the positive direction of x?

51.44 units

Explanation:

Given

x component of vector is

y component of vector is

so position vector is

Magnitude of vector is

|r|=51.44 units

Direction

vector is in 2nd quadrant thus

real, smaller and upside-down.   so the answer should be b.