Question

Point (α,β,γ) lies in the plane x + y + z = 2. Let vector a = α vector i + β vector j + γ vector k and vector (k x (k x a)) = 0 vector, then F = _______.

Answer 1

By hypothesis, we have

α + β + γ = 2 ...(1)

Therefore

so that α = 0 and β = 0. Hence, from Eq. (1), we get γ = 2.