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Vectors A⃗, B⃗ and C⃗ are such that A⃗ . B⃗ = 0 and A⃗ . C⃗ = 0 Then the vector parallel

Vectors A⃗, B⃗ and C⃗ are such that A⃗ . B⃗ = 0 and A⃗ . C⃗ = 0 Then the vector parallel to A⃗ is

Options

(a) B⃗ and C⃗
(b) A⃗ x B⃗
(c) B⃗+ C⃗
(d) B⃗ x C⃗

Correct Answer:

B⃗ x C⃗

Explanation:

vector triple product
A⃗ x (B⃗ x C⃗) = B⃗ (A⃗.C⃗) – C⃗ (A⃗.B⃗) = 0
A⃗ || (B⃗ x C⃗)
[ A⃗.B⃗ = 0 and A⃗.C⃗ = 0]

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