Q. 114.0( 2 Votes )

Find the sine of

Answer :

We have



Let these vectors be represented as,




Comparing the vectors, we get


a1 = 3, a2 = 1 and a3 = 2


b1 = 2, b2 = -2 and b3 = 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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