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13. Find the equation for the plane that contains the point /1( 2, -4, 6 ) and is perpendicular to the line x=2+41 y=4-2t z=6+3t
13. Find the equation for the plane that contains the point /1( 2, -4, 6 ) and is perpendicular to the line x=2+41 y=4-2t z=6+3t . Express your answer in the form ax+ by + cz +d =0 14. Convert the rectangular coordinate equation x" + y" += =4: to cylindrical coordinate. Simplify your answer when possible.9. Find the distance between the 2 parallel planes: -3x +6y + 72 =1 6x -12y-14z - 25 .You can give the answer out to 2 decimal places. 10. Find the parametric equation for the line going from 4(0, 0, =) to B (3, 5, 7) and parallel to the plane 2x +4y+ 6z =5. Note that the z-component in point A is unknown so it must also be determined. 11. Object A travels along the line x+1=4t y-3= =-1=0. Object B, along the line x+13-12t y-1=61 = -2 =3t . Find their intersection point. 12. Determine the point where the line x =4+3/ y=2- = =3+/ passes through the plane x+y+z-4=0
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