The plane, which passes throught the point (3,2,0) and line `(x - 3)/1 = (y - 6)/5 = (z - 4)/4` is

The plane, which passes through the point (3,2,0) and line (x-3)/(1)=(y-6)/(5)=(z-4)/(4) is

Find the equation of a line which passes through the point (1,1,1) and intersects the lines (x-1)/2=(y-2)/3=(z-3)/4a n d(x+2)/1=(y-3)/2=(z+1)/4dot

Find the equation of the plane which passes through the points (3,4,1) and (0,1,0) and parallel to the line (x+3)/2=(y-3)/7=(z-2)/5

The equation of a plane which passes through the point of intersection of lines (x-1)/(3)=(y-2)/(1)=(z-3)/(2) , and (x-3)/(1)=(y-1)/(2)=(z-2)/(3) and at greatest distance from point (0,0,0) is

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 Cartesian and vector 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 .

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.

Equation of a line in the plane pi =2x-y+z-4=0 which is perpendicular to the line l whose equation is (x-2)/1=(y-2)/(-1)=(z-3)/(-2) and which passes through the point of intersection of l and pi is (A) (x-2)/1=(y-1)/5=(z-1)/(-1) (B) (x-1)/3=(y-3)/5=(z-5)/(-1) (C) (x+2)/2=(y+1)/(-1)=(z+1)/1 (D) (x-2)/2=(y-1)/(-1)=(z-1)/1

Prove that the equation of the plane which passes through the point (-1,3,2) and is prependicular to the planes x+2y+2z=5 and 3x+3y+2z=8 is 2x-4y+3z+8=0 .

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 .