Assignment:
Express the vector with initial point P and terminal point Q in component form. Show work.
1. P(1,1), Q(9,9)
2. P(-1,3), Q(-6,-1)
3. P(-8, -6), Q(-1, -1)
Find 2u, -3v, u + v, and 3u - 4v for the given vectors u and v. Show work.
4. u= (-2,5), v= (2, -8)
5. u= i, v=-2j
Find (a) u * 5 and (b) the angle between u and v to the nearest degree.Show work.
5. u = i + sqaure root of 3j, v= -square root3i + j
6. u= (-6,6), v=(1, -1)
7. u= 2i + j, v= 3i-2j
8. u= i + j, v= i-j
Provide complete and step by step solution for the question and show calculations and use formulas.