Question
Consider the line L(t)=〈2+2t,3t,4+5t〉.Then: L is to the plane 4x+6y+10z=−4L is to the plane 16y−29x+2z=−204L is to the plane 13z−(25x+5y)=−15parallel, perpendicular, or neitherL is to the plane 3x+2y+2z=15:
Consider the line L(t)=〈2+2t,3t,4+5t〉. Then: L is to the plane 4x+6y+10z=−4 L is to the plane 16y−29x+2z=−204 L is to the plane 13z−(25x+5y)=−15 parallel, perpendicular, or neither L is to the plane 3x+2y+2z=15:
Answers
Determine whether the planes are parallel, perpendicular, or neither. $$ \begin{array}{l}{\text { (a) } 2 x-8 y-6 z-2=0 \quad \text { (b) } 3 x-2 y+z=1} \\ {\quad-x+4 y+3 z-5=0} \\ {\text { (c) } x-y+3 z-2=0} \\ {\quad 2 x+z=1}\end{array} $$
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