Answer :

We have

Let these vectors be represented as,

Comparing the vectors, we get

a_{1} = 3, a_{2} = 1 and a_{3} = 2

b_{1} = 2, b_{2} = -2 and b_{3} = 4

To find sine of the angle between the vectors and , we can first find out cosine of the angle between them.

Cosine of the angle between and is given by,

[∵ we know that, and .

So,

Also, we know that, ]

By algebraic identity, we have

Thus, sine of the angle between the vectors is .

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