find the component form of v given its magnitude and the angle it makes with the positive x-axis.

Question

magnitude: ||v|| = 7/8

angle: 150 degrees

Answer 1

magnitude = 7/8

angle = 150 degrees = 5pi/6

sin150 = 7/16

cos150 = (sqr3)/16

vector v = (-7sqr3/16)i +(7/16)j

Answer 2

v = 7/8(icos150° + jsin150°) = - 7√3/16i + 7/16j