Porisma

A hint to get started

Factor a cross product to get a linear relation

Three non-zero vectors a\mathbf a, b\mathbf b and c\mathbf c are such that 2a×b=a×3c2\mathbf a\times\mathbf b=\mathbf a\times3\mathbf c.

Find a linear relationship between a\mathbf a, b\mathbf b and c\mathbf c.

CJC · Discussion · Question 8

Use distributivity, then the meaning of a zero cross product with a nonzero vector.

Read the worked solution