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Question

Find the projection of vector (b+c) on vector a where a=^i+2^j+^k,b=^i+3^j+^k and c=^i+^k.

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Solution

a=^i+2^j+^kb=^i+3^j+^k
b+c=(^i+3^j+^k)+(^i+^k)
=2^i+3^j+2^k
Projection of (b+c) on a
(b+c)a|a|=(2^i+3^j+2^k)(^i+2^j+^k)^i+2^j+^k
=2+6+21+4+1=106

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