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Question

For given vectors, a=2^i^j+2^k and b=^i+^j^k, find the unit vector in the direction of the vector a+b

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Solution

The given vectors are a=2^i^j+2^k and b=^i+^j^k.
a+b=(21)^i+(1+1)^j+(21)^k=1^i+0^j+1^k=^i+^k
a+b=12+12=2
Hence, the unit vector in the direction of (a+b) is
(a+b)|a+b|=^i+^k2=12^i+12^k.

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