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Question

For given vectors, a=2ˆiˆj+2ˆk and b=ˆi+ˆjˆk, find a unit vector in the direction of the vector a+b.

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Solution

a=2ˆiˆj+2ˆk
b=ˆi+ˆjˆk
Therefore,
a+b=ˆi+ˆk
|a+b|=2
Hence, the unit vector in the direction of (a+b) is :
ˆi+ˆk2=12ˆi+12ˆk

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