a Find the component of u along v u 5i v 8i 6j b Find the

a) Find the component of u along v. u = 5i, v = 8i + 6j

b) Find the work done by the force F in moving an object from P to Q.   F = 400i + 65j;   P(1, 1),   Q(300, 1)

Solution

a) component of u along v = u.v/|v| = (5i).(8i + 6j)/sqrt(8² + 6²)

= 40/10 = 4

b) W = F.d

= (400i + 65j).(301i)

= 400 x 301 = 120400