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Question

Physics Question on Unit Vectors

The unit vectors orthogonal to the vectori^+2j^+2k^-\hat{i}+2\hat{j}+2\hat{k} and making equal angles with the x and y axis is (are)

A

±13(2i^+2j^k^)\pm\frac{1}{3}(2\hat{i}+2\hat{j}-\hat{k})

B

±13(i^+j^k^)\pm\frac{1}{3}(\hat{i}+\hat{j}-\hat{k})

C

±13(2i^2j^2k^)\pm\frac{1}{3}(2\hat{i}-2\hat{j}-2\hat{k})

D

±13(i^2j^2k^)\pm\frac{1}{3}(\hat{i}-2\hat{j}-2\hat{k})

Answer

±13(2i^+2j^k^)\pm\frac{1}{3}(2\hat{i}+2\hat{j}-\hat{k})

Explanation

Solution

The correct answer is(A): ±13(2i^+2j^k^)\pm\frac{1}{3}(2\hat{i}+2\hat{j}-\hat{k})