Question

Verify that vectors a x (b+c) = (a+b) + (a x c), when a = 4 i - j+k, b = i+j+k and c = i - j+k

Answer 1

To verify vectors a x (b+c) = (a+b) x (a+c)

We need to prove L.H.S = R.H.S

L.H.S we have,

Given,

Thus, substituting the values of a₁, a₂, a₃ and b₁, b₂ and b₃, in equation (i) we get

Thus, LHS = RHS.