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Question

If A=(1,2,3), B=(2,4,λ) and AOB=π/2 where O is the origin then λ is

A
6
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B
6
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C
0
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D
2
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Solution

The correct option is D 2
The vector OA is given by i+2j+3k and vector OB is given by 2i+4j+λk.
Since the angle between them is 900 their dot product is zero.
Thus, we have 2+8+3λ=0
λ=2.

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