Consider the point. (1, 2, 6) What is the projection of the point on the xy-plane? (x, y, z) = ( ) What is the projection of the point on the yz-plane? (x, y, z) = ( ) What is the projection of the point on the xz-plane? (x, y, z) = ( ) Draw a rectangular box with the origin and (1, 2, 6) as opposite vertices and with its faces parallel to the coordinate planes. Label all vertices of the box. (Which is the correct box in the image)

5. (a) (i) Find the equation of the plane II through the points (1, 1, 1), (1,3,2), and (2,2,0). (ii) Find the equation of the line I through the points (3, 3, −3) and (2, 4, −2). (iii) Find the point where I and II intersect. (iv) Find the angle between II and I (in radians to 1 decimal place). (b) Sketch the curve with polar equation r = sin(30), 0 ≤ 0 < 2π, plotting all the points with r both positive and negative and including explanations for your answer. Do we get any extra points if we allow negative r?

Do c

Find the equation of the plane with the given description. *Can you do it step by step

Find the distance between the point P = (-3,2,1) and the plane 3x-2y+z-6=0.