Consider the following u 4 18 v 3 4 Calculate projv u proj

Consider the following. u = (4, 18), v = (-3, 4) Calculate proj_v u. proj_v u = Resolve u into u_1 and u_2, where is parallel to v and u_2 is orthogonal to v. u_1 = u_2 =

Solution

proj_vu= (Vector v. vector u/I v I²)Vector v

u= (4,18)   v= (-3,4)

Vector v. vector u= -3*4 +4*18= 60

I v I²= (-3²+4²) = 25

proj_vu= (60/25)(-3i+4j) = (12/5)(-3i+4j)