help with these 3 questions Find the projection of u onto v

help with these 3 questions

Find the projection of u onto v. u = lang 6, 4 rang v = lang 2, -3 rang proj_v u = ______ Write u as the sum of two orthogonal vectors, one of which is proj_v u. u = proj_v u + _______ Find the projection of u onto v. u = lang -5, -4 rang v = lang -9, -1 rang proj_v u = (90/Squareroot 13, -135/Squareroot 13) Write u as the sum of two orthogonal vectors, one of which is proj_v u u = proj_vu + _________ Find the work done in moving a particle from P to Q when the magnitude and direction of the force are given by v. P = (8, 6), Q = (-1, 8), v = -3i + 3j ________

Solution

u=<6,4>

v=<2,-3>

u.v=6*2 +4*-3=12-12=0

| v|²=sqrt (4+9)²=13

Proj_uv=(0/13)<2,-3> =0