1. give an algebraic proof for: s(a*b)-(sa)*b where a and b are vectors and s is scalar. 2. Resolve v= into components parallel to a=

1. give an algebraic proof for: s(a*b)-(sa)*b where a and b are vectors and s is scalar.

2. Resolve v=<-2,5> into components parallel to a=<6,-2> and b= <1,3>

3. Three forces are acting on particle P:

F: 30 N, bearing 100

H: 20N, bearing 190

L: 24N, bearing 280

find a fourth force (K) which will keep the particle stationary.

4. A heavy cart is pulled 40 ft across a floor, using force of 100 pounds. The force is 50* above the horizontal. Using the dot product of 2 vectors, F and D, where F represents the force and D represents the distance, find the work done.