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Question

If A=6^i15^j and B=3^i+11^j, the magnitude and direction of A+B is

A
5,53
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B
5,53
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C
4,37
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D
4,37
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Solution

The correct option is B 5,53
A=6^i15^j
B=3^i+11^j
A+B=(63)^i+(15+11)^j=3^i4^j |A+B|=32+(4)2=5θ=tan14353
Hence the correct option is (b).

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