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Show that the equation of the plane whic...

Show that the equation of the plane which passes through the point `(1,2,3)` and parallel to the plane `3x+4y-5z=0` is `3x+4y-5z+4=0`.

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Find the equation of line passing through the point (2,-3) and parallel with the line 3x-4y+6=0 .

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Find the equation of the plane which passes through the point (2,1,-1) and is orthogonal to each of the planes x-y+z=1 and 3x+4y-2z=0 .

Find the equarion of the plane passes through the point (-1,-1,2) and prependicular to the planes 3x+2y-3z=1 and 5x-4y+z=5