MathCastle
Linear AlgebraMediumLinear Transformations

Linear Transformations · Medium problem

A reflection FF across the line y=3xy=3x fixes every vector on that line, and negates every vector perpendicular to it (F(v)=−vF(\mathbf v) = -\mathbf v). Which of these vectors is perpendicular to the line y=3xy=3x (and hence gets negated)?