- #1
shinobi20
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Homework Statement
I'm reading Zee's book Einstein Gravity, I'm in the section where he said that given an array of two numbers p=(ap1, bp2), it is not a vector unless a=b. He just stated it without really showing how it must be like that. I know that a vector should satisfy a transformation p'=R(θ)p with R as the rotation matrix.
In the exercises he also asked to prove that (p2q3, p3q1, p1q2) is not a vector by checking how it transforms under rotation.
Homework Equations
p'=R(θ)p with R as the rotation matrix
The Attempt at a Solution
For the first part, p'=Rp yields (ap1cosθ - bp2sinθ, ap1sinθ + bp2cosθ). I'm not sure what this is implying.