Let the vector equation of a plane be `vecr.(2hati+4hatj+3hatk)=12`. Find the distance from the point (2,1,3) to the plane

Let the vector equation of a plane be vecr.(2hati+4hatj+3hatk)=12 (i) Write the cartesian equation of the plane.

Let the equation of a plane be barr.(2hati-3hatj+5hatk)=7 , then find the Cartesian equation of the plane.

Let the equation of a plane be barr.(2hati-3hatj+5hatk)=7 , then find the equation of a plane passing through the point (3,4,-1) and parallel to the given plane .

Consider a point P(-2, -1, -4) and the plane vecr.(3hati+4hatj+5hatk)=10. Find the distance between the given plane and the plane 6x+8y+10z=3

Find the cartesian equation fo the following planes. vecr.(hati+hatj-hatk)=2

Find the cartesian equation fo the following planes. vecr.(2hati+3hatj-4hatk)=1

Consider the vector equation of two planes barr.(2i+j+k)=3,barr.(i-j-k)=4 Find vector equation of the plane through the intersection of the above planes and the point (1,2,-1).

Find the direction cosines of the vector 2hati+hatj+3hatk

Find the vector equation of the plane passing through the intersection of the palnes vecr.(2hati+2hatj-hat3k) = 7, vecr.(2hati+5hatj+3hatk) = 9 and through the point (2, 1, 3)