Describe the graph of the equation. r = (6 – 21) i+ 10rj O It is a line in 2-space through the point (6, 2) and parallel to the vector V = 10j. O Itis a plane in 2-space through the point (-2, 10) and parallel to the vector v = 6i. O Itis a line in 2-space through the point (6, 0) and parallel to the vector v = - 2i+ 10j. O Itis a line in 2-space through the point (-2, 10) and parallel to the vector v = 6i. O It is a plane in 2-space through the point (6, 0) and parallel to the vector v = -2i + 10j.

(part 1 of 4) Suppose you start at the origin in 3-space, move along the x-axis a distance of 2 units in the positive direction, and then move down- ward a distance of 3 units. What are the coordinates of your position? 1. (2,0, -3) 2. (2, -3,0) 3. (2,0,3) 4. (0, 2, -3) 5. (0, -3,2) (part 2 of 4) Which one of the points P(6, 9, -3), Q(8, -2, -8), R(-5, 8, 1) in 3-space is closest to the xz-plane? 1. R(-5, 8, 1) 2. P(6, 9, -3) 3. Q(8, -2, -8) (part 3 of 4) A rectangular box is constructed in 3-space with one corner at the origin and other ver- tices at (1,0,0), (0,3,0), (0,0,2). Find the length of the diagonal of the box. 1. length 14 2. length 3. length 4. length 5. length 6. length = = = = √22 √14 √19 19 22 (part 4 of 4) What are the coordinates of the projection of the point Q(-4, 5, 3) onto the zx-plane? 1. (-4, 0, 3) 2. (-4, -5, 3) (4, 5, 3) 3. 4. (-4, 5, 0) 5. (-4, 5, -3) 6. (0,5, 3)

Find an equation the plane that passes through the points A(4,0, –5), B(8,-3,-6), and C (1, 2, -1). Write your final answer in standard form.

Find an equation of a plane through the point (-3, -1, 1) which is parallel to the plane -5x - 3y + 4z = 2 in which the coefficient of x is -5. = 0.