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Question: If \(\vec { A } = 3 \hat { i } + \hat { j } + 2 \hat { k }\) and \(| \vec { A } \times \vec { B } |\...

If A⃗=3i^+j^+2k^\vec { A } = 3 \hat { i } + \hat { j } + 2 \hat { k } and ∣A⃗×B⃗∣| \vec { A } \times \vec { B } | will be

A

828 \sqrt { 2 }

B

838 \sqrt { 3 }

C

858 \sqrt { 5 }

D

585 \sqrt { 8 }

Answer

838 \sqrt { 3 }

Explanation

Solution

=8i^−8j^−8k^= 8 \hat { i } - 8 \hat { j } - 8 \hat { k }

∴ Magnitude of =83= 8 \sqrt { 3 }