What is the projection of (4,4) onto (-7,3) ?

A) - 0.28 (4,4)

B) - 0.50 (-7,3)

C) - 0.28 (-7,3)

D) 0.50 (4,4)

Let's define the vectors:

u = (4,4)

v = ( - 7.3)

The projection of u on v is:

P = ((u. v) / (v ^ 2)) v

We have then:

u. v = (4,4). ( - 7.3)

u. v = (4) * ( - 7) + (4) * (3) = - 28 + 12 = - 16

v ^ 2 = ( - 7) ^ 2 + (3) ^ 2 = 49 + 9 = 58

Substituting we have:

P = (( - 16) / (58)) ( - 7, 3)

Rewriting:

P = - 0.28 (-7, 3)

Answer:

the projection of (4,4) onto (-7,3) is:

C) - 0.28 (-7.3)