Assignment:
Q1. Given a = 9i - 5j and b = 7i-4j, express i and j in terms of a and b
Q2. Given a=<4,5,-3> and b =<4,-2,2> determine whether a and b are parrallel, perpendicular, or neither.
Q3. Given F = 4i -2k;..... P(0,1,0) and Q(4,0,1) find the work W done by the force (F)moving a particle in a straight line from P to Q.
Q4. Given a =<1,2,3> and b=<4,5,6> find two different unit vectors, u an v, both of which are perpendicular to a and b.
Provide complete and step by step solution for the question and show calculations and use formulas.