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Question

Mathematics Question on Vectors

Let A, B, C, D be the points with position vectors 3i^2j^k^,2i^+3j^4k^,i^+2j^+2k^3\hat{i}-2\hat{j}-\hat{k},2\hat{i}+3\hat{j}-4\hat{k},-\hat{i}+2\hat{j}+2\hat{k} and 4i^+5j^+λk^4\hat{i}+5\hat{j}+\lambda\hat{k} respectively. If the points A, B, C, D lie on a plane, then the value of λ is

A

0

B

374\frac{37}{4}

C

374\frac{-37}{4}

D

1

Answer

374\frac{-37}{4}

Explanation

Solution

The correct option is (C) : 374\frac{-37}{4}.