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

Consider a point P(-2, -1, -4) and the plane vecr.(3hati+4hatj+5hatk)=10. Write the cartesian equation of the given plane. Hence, find the perpendicular distance of P from 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 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).

Consider the plane passing through (2, 3, 5) and perpendiular to the vector 4hati+2hatj-3hatk Find the cartesian equation of the plane

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

If the Cartesian equation of a plane is x+y+z=12 , then the vector equation of the plane is.... a) barr.(2i+j+k)=12 b) barr.(i+j+k)=12 c) barr.(i+j+2k)=12 d) barr.(i+3j+k)=12