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Question

If A=2^i+3^j+8^k is perpendicular to B=4^j4^i+α^k, then the value of 'α' is

A
1
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B
12
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C
1
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D
12
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Solution

The correct option is D 12
Vectors A and B are perpendicular to each other.
A.B=0
Or (2^i+3^j+8^k).(4^i+4^j+α^k)=0
Or 2(4)+3(4)+α(8)=0
Or 8+12+8α=0
α=12

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