- #1
MD Aminuzzaman
- 5
- 0
I am new to this forum. I was reading this document :
http://math.kennesaw.edu/~plaval/math4490/rotgen.pdf
Here the author says that from this figure
http://i.stack.imgur.com/KBw9l.png
that we can express $v_{\perp}$ like this :
$$T (v_{\perp}) = \cos(\theta) v_{\perp} + \sin(\theta) w$$
I don't understand this part. Can anybody explain how $$T(v_{\perp}) $$ is $$\cos(\theta) v_{\perp} + \sin(\theta) w$$?
http://math.kennesaw.edu/~plaval/math4490/rotgen.pdf
Here the author says that from this figure
http://i.stack.imgur.com/KBw9l.png
that we can express $v_{\perp}$ like this :
$$T (v_{\perp}) = \cos(\theta) v_{\perp} + \sin(\theta) w$$
I don't understand this part. Can anybody explain how $$T(v_{\perp}) $$ is $$\cos(\theta) v_{\perp} + \sin(\theta) w$$?