Question

A unit vector lies in the plane, at an angle of 141 degrees from the axis, with a positive component. What is the unit vector?

Answer 1

Answer: The vector is (-0.777, 0.629)

Step-by-step explanation:

We have to convert the polar coordinates to the cartesian coordinates by using the relations:

$x = R*cos (\alpha )$ and $y = R*sen(\alpha )$, where R is the radius (in this case the unit, 1) and α the angle formed with the axis. Then:

$x = 1 * cos (141) = -0.777$ and $y = 1*sen(141) = 0.629$.