Let A be the point with coordinates (2, 1, -2) and let B be the point with coordinates (1, 1, -2). Let v be the vector represented by the bound vector AB. Let II be a plane with the following properties: • II contains the point with coordinates (-1,-1,-3) • II is orthogonal to the vector v. What is the distance of the point with coordinates (2, 1, 0) from II? [Please enter your answer numerically in decimal format. You will be marked correct as long as what you enter is within 0.25 of the correct answer. So for example, if the correct answer is 6.78 then any input that lies between between 6.53 and 7.03 will be marked as correct.] Answer: 6 X The correct answer is: 3.00

P(2,5, 4) and Q(8,3,3) Let be the line through P in vector direction (1,2,3) and let II be the plane through Q perpendicular to (4,-1,-9). Find an equation for II.

Let / be the line through the point with coordinates (-2,1,0) in the direction of the vector 1 Which of the following points (given by their coordinates) lie on | 1? Select one: a. (-3, 1, -1) b. (-2, -1, 0) c. (-3, 2,-1) d. (-4, 3, 0)

Let vector a=4i-5j+3k and a point P(2,-1,3). If the length of PQ is equal to the length of vector a, and vector PQ is opposite to vector a, then the coordinate of Q is …  (2,-4,0)  (6,-6,0)  (-2,4,0)  (6,-6,-6) The equation for the plane passing through points (3,2,1),(2,1,-1), and (-1,3,2) is given as follows. 9x + y - z - 16 = 0  x + 9y - 5z - 16 = 0  x - 9y - 5z + 16 = 0  x + 5y - 9z - 16 = 0choose the correct answer