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Question

1.Find the projection of the vector i-j on the vector i+j.
2.Find the projection of the vector 2ˆi+3ˆj+2ˆk on the vector
ˆi+2ˆj+ˆk..
3.Find the projection of a=ˆi+3ˆj+ˆkalongb=2ˆi3ˆj+6ˆk.

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Solution

1) Projection of vector aonb is given by a.bb
(^i^j).(^i^j)^i+^j=112=0
2)(2^i3^j+2^k).(^i+2^j+^k)^i+2^j+^k=2+6+21+4+1=1016
3)a.bb=(^i+3^j+2^k).(2^i3^j+6^k)2^i3^j+^6k=29+64+9+36=149=17

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