What is the projection of # (-9 i + j + 2 k)# onto #(-5i + 12j- 5 k)#?

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Answer 1 · 2017-09-27T06:33:16

Let

#vecA=−9hati+hatj+3hatk#

and

#vecB=−5hati+12hatj-5hatk#

Now projection of #vecA# onto #vecB#

#=(vecA*vecB)/abs(vecB)^2vecB#

#=(45+12-15)/(sqrt(5^2+12^2+5^2))^2(-5hati+12hatj-5hatk)#

#=21/97(-5hati+12hatj-5hatk)#