Question

If the vector (i - 3j + 5k)  bisects the angle between a and (2k + 2j - i), where a is a unit vector, then find a.

Answer 1

According to the given conditions,

If λ = 0, then a = i - 2j - 2k (which is not acceptable).

Therefore, for λ = 2/35, a = 1/105(41i - 88j - 40k).