1. A(-2, 3, -5) and B (6, 7, 3) are two points in R3. What is vector AB and magnitude of Vector AB?
2. A(-2, 3, -5) and B (6, 7, 3 ) are two points in R3. What is unit vector parallel to vector BA?
3. Solve for a, b , c when (2, -1, c) + (a, b, 1) -3( 2, a, 4) =(-3, 1, 2c)
4. Solve for p & q if p(-2, 3) + q (3, -1) = (13, -9)
5. Vector x = (1, 4, -1), Vector y = (1, 3, -2) & vector z = (-2, 1, o). What is x -2y - z?
6. Vector x = (1, 4, -1), Vector y = (1, 3, -2) & vector z = (-2, 1, o). What is -2x -3y + z?
7. Given vector x = 2 i - 3 j & y = -4i - 3j What is the magnitude of vector x + y?
8. Given vector x = 2 i - 3 j & y = -4i - 3j What is the magnitude of vector x - y?
9. Given A(-2, -6, 3) and B (3, -4, 12) what is Vector OA and Magnitude of vector OA?
10. Given A(-2, -6, 3) and B (3, -4, 12) what is Vector OB and Magnitude of vector OB?
11. Given A(-2, -6, 3) and B (3, -4, 12) what is Vector AB and Magnitude of vector AB?
12. Given A(-2, -6, 3) and B (3, -4, 12) what is Vector BA and Magnitude of vector BA?
13. Vectors (-1, -2, -3) and (1, 2, 3) are parallel
14. Points A(1, 2, 3) , B(3, 4, 5), C(5, 6, -7) are collinear
15. Vector r = (16, 11, -24) is a linear combination of vector p = (-2, 3, 4) and q = (4, 1, -6)
16. Vector r = (1, 12, -29) is a linear combination of vector p = (3, 1, 4) and q = (1, 2, -3)
17. A(-3,7), B(5,22) and C(8, 18) are three vertices of triangle. what is the Perimeter of triangle ABC? Round the answer to whole number.
18. A(0, 3, 5), B(3, -1, 17) and C(7, -3, 15) are three vertices of Parallelogram. What is the vertex D?
19. A(-2, -6, 3) , B(4, -4, 12) and C(4, 4, -9) are the vertices of triangle ABC. What is the centroid G of the triangle?