- #1
fattycakez
- 21
- 0
Homework Statement
Find the (exact) reflection of the vector v = (5, 1) across the line: y = 2x.
Hint: A sketch of v and the line may suggest an approach.
Homework Equations
The Attempt at a Solution
I found the matrix
-3/5 6/5
4/5 2/5
which seems like it gives the reflection across y=2x
But my question is: is there way to do this by rotating the axes and changing bases? (I'm pretty sure this is what the assignment is asking me to do)
I'm having a hard time visualizing it since no angle is given to put into the rotation equations for R2
i.e.
x'=xcosθ +ysinθ
y'=-xsinθ+ycosθ
Any help is greatly appreciated :)