Name two planes that contain: VT W! O Plane WST and Plane RST O Plane UTV and Plane STV O Plane URS and Plane WVT O Plane UTV and Plane STU

Let A be the point with coordinates (4, 4, 3), let B be the point with coordinates (2, 2, 3), let C be the midpoint of the line segment AB, let D be the point with coordinates (1,0,0), and let E be the point with coordinates (0,1,0). Let II be the plane passing through the three points C,D,E. Suppose that the line 2x - 8 = 2y - 8 = 2z - 8 intersects the plane II at the point P. Write down the x-coordinate of P. [So, for example, if you find that P has coordinates (2.5, 2, 2) then you should enter 2.5 as your answer. 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.] Answer:

Which of these planes pass through the origin? Зх — 5у + 2z 30 5х — 3 3D 0 4х + у %3D 0 -4x – 5y + z = 2 8x + 7y = 2z бх — 5у %3D 1

pls help with these thanks. 1. a) Determine a direction vector of the line of intersection of the two planes 6x - 2y + 8z = 14 and 15x - 5y + 20z = 28. If there is not a single line of intersection, classify the system.   Question a) options:   [-7, 3, -5]   [4, -6, 1]   [-6, -5,2]   [1, -7, -4]   parallel and distinct   coincident   b) Solve the following system, if possible. π1:  3x - 2y + 5z = 1 π2:  5x + y - 3z = -4 π3:  6x - 17y + 44z = 31 Find either the point of intersection or the direction vector of the line of intersection or state the system is inconsistent.   Question b) options:   [1, -5, –3]   [-3, 5,-1]   [8, 4, 1]   [-4, -7, 5]   inconsistent