Let / be the line through the point with coordinates (1,-1,0) in the direction of the vector coordinates) lie on /? O a. (0, 0,-1) O b. (1, -3,0) O c. (0, -1, -1) O d. (-1, 1, 0) 1 . Which of the following points (given by their

B. Find the distance between each pair of points on the coordinate plane. 1. А(12, —2) and B(10, -2) 2. С(9, —3) аnd D(9,4) 3. Е(-8, —1) and F(-5,6) 4. G(-2,3) and H(4, –5) 5. I(-3,4) and J(2,-5)

1. Find the cosine of the angle between vectors u = (-4,0,3,0) and v = (2,-3,0,6); 0 2. Express the vector p = (-6,15,-3) as linear combination of the vectors u = (1,-1,3), v = (2,-5,0) and w = (-2,4,-3).

1. Find all unit vectors that are parallel to the line going through the points (1, 3, – 1) and (2, 1, 1). 2. Determine whether the angle between the vectors (3, 1, –5) and (2, –1, 1) is acute, right or obtuse.