Given the vector → u = − 4 →i | − 3 →j , find the magnitude and angle in which the vector points (measured counterclockwise from the positive x-axis, 0 ≤ θ < 2 π) Round your answers to 3 decimal(s).

Answer 1

u=-4i -3j

magnitude = sqr[(-3)^2+(-4)^2] = sqr(9+16) = sqr25 = 5

angle = 180 + tan^-1(3/4)

= about 180 +36.8699

= 216.870 degrees

= 216.870pi/180

= 1.205 pi radians

= 1.205(3.14159)= 3.786 radians