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Question

If A=i2j3k and B=2i+3j4k then magnitude of A+B is

A
49
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B
39
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C
59
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D
None of these
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Solution

The correct option is C 59
Given,
A=^i2^j3^k
B=2^i+3^j4^k
A+B=(^i2^j3^k)+(2^i+3^j4^k)
A+B=3^i+^j7^k
Magnitude, M=(3)2+(1)2+(7)2
M=59
The correct option is C.

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