Calculate the components of a unit vector that lies in the xy-plane and makes equal angles with the positive directions of the x- and y-axes
2026-04-12 21:48:36.1776030516
How do I Calculate the components of a unit vector that lies in the xy-plane and makes equal angles .....
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Since the angle between the $x-$ and $y-$ axes is $90º$, then a vector that makes equal angles is going to be at an angle of $45º$.
We can represent this in the polar coordinate system as a point with $\theta = 45º, r = 1$, where $\theta$ is the angle from the x-axis, and $r$ is the distance from the origin.
You can convert this into Cartesian form with the formula $x = \cos \theta, y = \sin \theta$, which will give you the position vector of the line.