Calcualte the amount of force to move an object of 100 g horizontally to the plane and parallel to the plane, `[mu = 0.4]`

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 .

Find the equation of the plane through the points (2, 3, 1) and (4, -5, 3) and parallel to the x-axis.

Find the equation of the plane which passing through the point hati + hatj + hatk and parallel to the plane vec r.(2hati - hatj + 2hatk) = 0.

Find the equation of the plane passing through the point (4,1,1) and parallel to 3x-4y+7z+5 =0

Show that the equation of the plane passing through the point (1,2,3) and parallel to the plane. 3x + 4y - 5z = 3 is given by 3x + 4y - 5z = -4.

Show that the equation of the plane passing through the point (1,2,3) and parallel to the plane 3x+4y-5z=3 is given by 3x+4y-5z=-4 .

A point P moves on a plane x/a+y/b+z/c=1. A plane through P and perpendicular to O P meets the coordinate axes at A , Ba n d Cdot If the planes through A ,Ba n dC parallel to the planes x=0,y=0a n dz=0, respectively, intersect at Q , find the locus of Qdot

The equation of the plane contaning the line 2x -5y + z= 3, x + y + 4z =5 and parallel to the plane, x + 3y + 6z = 1 is