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Find the equation of the plane passing t...

Find the equation of the plane passing through the line intersection of the plane: `vec2x-y=0 and 3z-y=0` and perpendicular to the plane `4x+5y-3z=8`

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Any plane through the line of intersection of the planes:
`2x-y=0` and `3z - y =0` is given by
`(2x – y) + lambda(3z – y) =0 ldots (i)`
`2x + (-1 –lambda)y + 3zlabda =0` is perpendicular to the plane `4x + 5y + 3z=0`
...
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  10. Prove that if a plane has the intercepts a, b, c and is at a distance...

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  16. Find the distance of the point 2 hat i- hat j-4 hat k from the plane ...

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  17. Find the distance of the point (2, 3, -5) from the plane x+2y-2z-9=0.

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  18. Show that the points (1, 1, 1) and (-3, 0, 1) are equidistant from the...

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  19. Find the equations of the plane parallel to the plane x-2y+2z-3=0\ an...

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  20. Find the distance of the point (2, 3, 5) from the xy-plane.

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