$\begingroup$

I want to know for perhaps computing dot products etc, that if Im just told the angle between to unit vectors...say pi/6, how would I find the dot product of these two vectors?

$\endgroup$ 2

1 Answer

$\begingroup$

The scalar product of two unit vectors $u, v$ ($\Vert u \Vert = \Vert v \Vert = 1$) with a given angle $\theta$ is $$\langle u, v \rangle = \cos \theta$$

since the scalar product is given by

$$\langle a, b \rangle = \Vert a \Vert \Vert b \Vert \cos \theta$$

$\endgroup$

Your Answer

Sign up or log in

Sign up using Google Sign up using Facebook Sign up using Email and Password Submit

Post as a guest

Post Your Answer Discard

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy