The plane `2x+3y+kz-7=0` is parallel to the line whose direction ratios are `(2,-3,1)` then `k=`

The distance of the point (1,-2,3) from the plane x-y+z=5 measured parallel to a line whose direction ratios are 2,3,-6 is

Find the equation of the plane passing through the points (2,2,-1) and (3,4,2) and parallel to the line whose direction ratios are (7,0,6)

If the line with direction ratios 2, -1, 2 is perpendicular to the line with direction ratios 1, k, -3, then k =

If the line with direction ratios 5, 3k, 7 is perpendicular to the line with direction ratios k, 1, -8, then k =

The direction cosines of a line whose direction ratios are 1, -2, 3 are

The direction ratios of a line which is perpendicular to the two lines whose direction ratios are 3, -2, 1 and 2, 4, -2 is

The equation of the plane through (3,1,-3) and (1,-2,2) are parallel to the line with direction ratios 1,1,-2 is

The direction ratios of a line which is perpendicular to the two lines whose direction ratios are 3, -2, 4 and 1, 3, -2 is

Find the equation of the plane passing through the intersection of the planes 4x-y+z=0\ a n d\ x+y-z=4 and parallel to the line with direction ratios proportional to 2, 1, 1.