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Question

The Unit Vectors orthogonal to ^i+2^j+2^k and making equal angles with x and y axes are

A
±13(2^i+2^j^k)
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B
±13(^i+^j^k)
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C
±13(2^i2^j^k)
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D
±14(^i+^j^k)
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Solution

The correct option is B ±13(2^i+2^j^k)
Let orthogonal vector be a^i+b^j+c^k
(ai+b^j+c^k).(^i+α^j+α^k)=0 -------(1) (both vetors are to each other)
As they make equal angle with x & y
So a=b -----------(2)
& so unit vector =a^i+b^j+c^ka2+b2+c2------------(3)
So all condition is satisfied in option A.

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