Precalculus, Chapter 6, 6.4, Section 6.4, Problem 61

You need to evaluate the projection of vector u onto vector v using the formula, such that:
proj_v (u) = ((u*v)/(|v|^2))*v
You need to evaluate the product of vectors u = u_x*i + u_y*j and v = v_x*i + v_y*j , such that:
u*v = u_x* v_x + u_y* v_y
u*v = 0*2+ 3* (15)
u*v = 0 + 45
u*v = 45
You need to evaluate the magnitude of the vector v, such that:
|v| = sqrt(2^2+15^2) => |v|^2 = 4 + 225 = 229
proj_v (u) = (45/229)*v => proj_v (u) = (45/229)*<2,15>
proj_v (u) = <90/229,675/229>
Hence, evaluating the projection of vector u onto vector v yields proj_v (u) = <90/229,675/229> .

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