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Question

The angle between the vectors (^i+^j+^k) and (^i^j^k) is:

A
sin183
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B
sin113
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C
cos183
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D
cos183
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Solution

The correct option is A sin183
A=¯i+¯j+¯kB=¯i¯j¯kAB=θcosθ=ABAB=133=13sin2θ+cos2θ=1sin2θ=119=89sinθ=83θ=sin183

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