What is the projection of (32i−38j−12k) onto (18i−30j−12k)?

1 Answer
ali ergin
Feb 14, 2016

→c=<24,47i,−40,79j,−16,32k>

Explanation:

→a=<32i,−38j,−12k>
→b=<18i,−30j,−12k>
→a⋅→b=18⋅32+38⋅30+12⋅12=
→a⋅→b=576+1140+144=1860
|b|=√182+302+122
|b|=√324+900+144
|b|=√1368
→c=→a⋅→b|b|⋅|b|⋅→b
→c=1860√1368⋅√1368<18i,−30j,−12k>
→c=18601368<18i,−30j,−12k>
→c=<1860⋅18i1368,−1860⋅30j1368,−1860⋅12k1368>
→c=<24,47i,−40,79j,−16,32k>

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