Question

Let a, b, c be three non-coplanar vectors and 

b₁ = b – ((a.b)/|a|²)a, b₂ = b + ((a.b)/|a|²)a,

the triplet of pairwise orthogonal vectors is 

(a) (a, b₁, c₁) 

(b) (a, b₁, c₂) 

(c) (a, b₂, c₂) 

(d) (a, b₁, c₃)

Answer 1

Answer is (b) (a, b₁, c₂)

Explanation:

We have

Thus, 

The required triplet is (a,b₁,c₂)