a. Calculate the scalar projection of (5,3) onto (7,-2).
b. Interpret this projection graphically.

Question

a. Calculate the scalar projection of (5,3) onto (7,-2).
b. Interpret this projection graphically.

anonymous · Answer

the equation of a projection a on b is ((a.b)/(b.b))b
Where a and b are vectors.

anonymous · Answer

b.b is also equal to Norm[b] squared

ipwnbunnies · Answer

I'm wrong, that is. I must be thinking about another projection, hmm.

anonymous · Answer

tell me if this is right? $$=(5\times7-3\times2)/\sqrt{53}$$

anonymous · Answer

yea thats teh scalar
now multiply by the vector onto which you are projecting. in this case (7,-2)

anonymous · Answer

ok so my answer was for a correct?

anonymous · Answer

wait i meant -2

anonymous · Answer

not exactly, you found the scalar that you need to multiply with the vector itself to create the projection.

anonymous · Answer

also you accounted for the negative when you subtracted :P so you actually mean 2.

anonymous · Answer