- #1

Jovy

- 17

- 2

*Hello, I apologize in advance for the way this post looks. I am new to this forum and I've never used LaTeX Primer. I noticed that someone has prevoiusly asked the same question, but I still do not understand how to get to the answer. Also, I tried posting an image but I could not; and this other post contains the image so I will leave a link to the other forum.*

https://www.physicsforums.com/threads/cross-product-homework.352545/

https://www.physicsforums.com/threads/cross-product-homework.352545/

1. Homework Statement

1. Homework Statement

The figure shows two vectors $$ \vec T$$ and $$\vec U$$ separated by an angle $$θ_{TU}$$ You are given that $$\vec T =(3,1,0), \vec U =(2,4,0), ~and~ \vec T × \vec U = \vec V$$ Find the sine of the angle between $$\vec T ~and~ \vec U $$

## Homework Equations

$$| \vec T × \vec U |= | \vec T || \vec V |\sinθ$$

## The Attempt at a Solution

I know that the answer is $$\frac {\sqrt{2}} 2$$ The magnitude of vector V is 10 and you square root that, 10 is also opposite of the angle theta. However, I don't understand how the hypotenuse is 20 therefore you would simplify $$\frac {\sqrt{10}} {\sqrt20}$$ to get the answer