Question

1) Represent linear vector equations in matrix form and solve the system of linear equations using Gaussian elimination.

Use Gaussian elimination; calculate the tensions, T_1,T_2,T_(3 )in a simple framework are given by the simultaneous equations:

5T_1+ 5T_2+5T_3=7.0
T_1+ 2T_2+4T_3=2.4
4T_1+ 2T_2=4.0

2) Use vector geometry to model and solve appropriate engineering problems

A force of (2i-2j+k) newtons acts on a line through point P having coordinates (0, 6, -4) metres. Determine the moment vector and its magnitude about point Q having co-ordinates (4, -5, 3) metres.