What is the projection of <3,−4,6> onto <−1,7,−3>?

1 Answer
P dilip_k
Mar 25, 2016

let
→a=<3,−4,6>=3ˆi−4ˆj+6ˆk and
→b=<−1,7,−3≥−ˆi+7ˆj−3ˆk

The projection of →a onto →b=→a.→b∣∣∣→b∣∣∣2⋅→b
=−3−28−18(−1)2+72+(−3)2⋅(−ˆi+7ˆj−3ˆk)
=−4959(−ˆi+7ˆj−3ˆk)

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