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?

Question

asked Jan 26, 2020 225k views

1 Answer

Tinu · Answer 1 · 2020-01-30T04:23:30+0000

Answer: The vector is (-0.777, 0.629)

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 .