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Question

If a=4^i6^j , b=5^i^j and c=^j then (a×c)b=

A
6
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B
4
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C
0
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D
5
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Solution

The correct option is C 0
Consider the problem
we have the vectors,
a=4^i6^j,b=5^i^j,c=^j
First we have to calculate, a×c
Therefore, a×c=∣ ∣ ∣^i^j^k460010∣ ∣ ∣
Expanding along C3
Hence, a×c=4^k
and now we have to calculate, (a×c).b
(a×c).b=(4^k).(5^i^j)
=0^i+0^j+0^k
Hence, magnitude =02+02+02=0
Therefore, (a×c).b=0

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