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Multiplication with Vectors

Consider two ...

Question

Consider two vectors $_{1} = 2^i + 5^k$ and $_{2} = 3^j + 4^k$ . The magnitude of the scalar product of these vectors is

A

20

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B

23

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C

5 \sqrt{33}

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D

26

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Solution

The correct option is B $26$
$_{1} ._{2} = (2^j + 5^k) (3^j + 4^k)$
$= 6 + 20 = 20 + 6 = 26$

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