Question

A unit vector lies in the xy plane, at an angle of 153 degrees from the x axis, with a positive y component. What is the unit vector

Answer 1

unit vector = -0.891i + 0.454j

Explanation:

Given that;

magnitude of unit vector =

angle of 153° degrees from the x axis, with a positive y component

{ second quadrant }

so, x and y components of the vector are;

x component = 1 × cos(153°) = - 0.891

y component = 1 × sin(153°) = 0.454

⇒ -0.891i + 0.454j

Therefore, unit vector = -0.891i + 0.454j