Q. and are two non-zero vectors inclined to each other at an angle . and are unit vectors along and respectively. The component of in the direction of will be

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Solution:

Let two vectors and are represented by graph as below
image
Here, is a vector in the direction of . Then, from the right angle triangle, we get


Also,

As given that, is the unit vector along , then

Putting the value of Pfrom Eq. (iii) to Eq. (ii), we get