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Find the vector equation of the line pas...

Find the vector equation of the line passing through the point `(1,-1,2)` and perpendicular to the plane 2`x-y+3z-5=0.`

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(i) Find the equation of the plane passing through (1,-1,2) and perpendicular to the planes : 2 x + 3y - 2z = 5 , x + 2y - 3z = 8 . (ii) find the equation of the plane passing through the point (1,1,-1) and perpendicular to each of the planes : x + 2y + 3z - 7 = 0 and 2x - 3y + 4z = 0 . (iii) Find the equation of the plane passing through the point (-1,-1,2) and perpendicular to the planes : 3x + 2y - 3z = 1 and 5x - 4y + z = 5.

Find the equation of the plane passing through the point ( 1, -1 , 2) and perpendicular to the planes 2x + 3y - 2z = 5 and x + 2y - 3z = 8.

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Find the equation of the plane passing through the point (-1,-1,2) and perpendicular to the planes 3x+2y-3z=1 and 5x-4y+z=5