Match the planes in (a)?(d) with one or more of the descriptions. (Select all th

Question

Match the planes in (a)?(d) with one or more of the descriptions. (Select all that apply.) (a) 3x-y+z=O. Goes through the origin. Has a normal vector parallel to the xy-plane. Goes through the point (0, 8, 0). Has a normal vector whose dot products with i, j, k are all positive. (b) 7x + y + 2z- 8= 0. Goes through the origin. Has a normal vector parallel to the xy-pane. Goes through the point (0, 8, 0). Has a normal vector whose dot products with i, j, k are all positive. (c) x + y= 8. Goes through the origin. Has a normal vector parallel to the xy-plane. Goes through the point (0, 8, 0). Has a normal vector whose dot products with i, j, k are all positive. (d) x= 8. Goes through the origin. Has a normal vector parallel to the xy-plane. Goes through the point (0, 8, 0). Has a normal vector whose dot products with i , j , k are all positive.

Explanation / Answer

a) 1 option is coreect

b) 3 and 4 options are correect

c) 2 and 3options are correct

d) 2nd option is correct

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