Find the distance of a point `(2, 5, 3)`from the plane ` -> rdot(6 hat i-3 hat j+2 hat k)=4`.

Find the distance of a point (2, 5, 3) from the plane vecr.(6 hat i-3 hat j+2 hat k)=4 .

Find the distance of the point (3, 3, 3) from the plane vec r.(5 hat i+2 hat j-7 hat k)+9=0

Find the distance of the point 2 hat i+ hat j- hat k from the plane vec r( hat i-2 hat j+4 hat k)=9 .

Find the distance of the point 2 hat i- hat j-4 hat k from the plane vec rdot((3 hat i-4 hat j+12 hat k)-9=0.

Find the vector equation of the line passing through (1, 2, 3) and parallel to the planes -> rdot( hat i- hat j+2 hat k)=5 and -> rdot(3 hat i+ hat j+ hat k)=6 .

Find the vector equation of the line passing through (1, 2, 3 ) and parallel to the planes -> rdot( hat i- hat j+2 hat k)=5\ a n d\ -> rdot(3 hat i+ hat j+ hat k)=6.

Find the length and the foot of the perpendicular from the point (1, 1, 2) to the plane vec rdot(( hat i-2 hat j+4 hat k)+5=0.

Find the vector equation of the line passing through the point (1,2,3) and parallel to the planes vec rdot( hat i- hat j+2 hat k)=5 and vec rdot(3 hat i+ hat j+ hat k)=6.

Find the equation of the plane passing through (a, b, c) and parallel to the plane -> rdot( hat i+ hat j+ hat k)=2 .

Find the vector and Cartesian equations of the line passing through (1, 2, 3) and parallel to the planes vec rdot(( hat i- hat j+2 hat k)=5\ a n d\ vec rdot((3 hat i+ hat j+ hat k)=6.