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Question

Find A×B, if A=^i+2^j4^k and B=2^i^j+2^k.

A
5^j+10^k
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B
10^j+5^k
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C
10^j5^k
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D
10^j5^k
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Solution

The correct option is C 10^j5^k
It is given that, A=^i+2^j4^k and B=2^i^j+2^k.

For finding the cross-product, we use determinant method. The respective coefficients for ^i,^j,^k are placed in the determinant format, shown below:

A×B=∣ ∣ ∣^i^j^k124212∣ ∣ ∣=^i((2)(2)(1)(4))^j((2)(8))+^k((1)(4))=10^j5^k

Hence option C is the correct answer.


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