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Question

Find the angle between A=3^i+4^j and B=12^i+5^j.

A
cos16556
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B
cos15665
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C
sin16556
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D
cos15356
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Solution

The correct option is B cos15665
We have cosθ=A.BAB=(3^i+4^j).(12^i+5^j)32+42122+52
cosθ=36+205×13=5665
θ=cos15665

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