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

Find the equation of the plane passing through the points (1,0,-1)a n d(3,2,2) and parallel to the line x-1=(1-y)/2=(z-2)/3dot

Find the equation of the line passing through the points (1,2,3)a n d(-1,0,4)dot

Find the equation of the plane through the points (1,0,-1),(3,2,2) and parallel to the line (x-1)/1=(y-1)/(-2)=(z-2)/3 .

Find the vector parametric , non parametric and Cartesian equation of the plane passing through the points (2, 1, -1) and (1, -1, 2) and parallel to the line (x-10)/(2)=(y+7)/(3)=(z-3)/(4) .

Find the equation of the plane which passes through the point (3,4,-1) and is parallel to the plane 2x - 3y + 5z + 7 = 0. Also, find the distance between the two planes.

Find the parametric form vector eqution and Cartesian equations of the plane passing through the points (2,2,1),(1,-2,3) and parallel to the straight line passing through the points (2,1,-3)and(-1,5,-8).

Find the equation of the straight line passes through the point (5, 3) which is parallel to the y-axis is ____.

Find the vector cartesian equation of the plane passing through the points (1, -2, 3) and (-1, 2, -1) and is parallel to the line vecr=(2hati-hatj+hatk)+t(2hati+3hatj+4hatk)

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

Find the cartesian equation of the line which passes through the point (-2,4,-5) and parallel to the line given by (x+3)/3 =(y-4)/5=(z+8)/6 .