Question

If `veca` and `vecb` are two non-zero vectors such that `|veca xx vecb| = veca.vecb`, find the angle between `veca` and `vecb`.

Answer 1

Given: `|veca xx vecb| = veca.vecb`

`\implies |veca||vecb| sin θ = |veca||vecb| cos θ`

`\implies` sin θ = cos θ

`\implies` tan θ = 1

θ = 45°

Hence, angle is 45°.