Find the Cartesian equation of the plane `vecr.(2hati-3hatj+5hatk)=1`.

The Cartesian equation of the plane vecr. (hati + hatj + hatk) =2 is "_______."

Find the line of intersection of the planes vecr.(3hati-hatj+hatk)=1 and vecr.(hati+4hatj-2hatk)=2

Prove that the equaton of a plane through point (2,-4,5) and the line o lintersection of the planes vecr.(2hati+3hatj-4hatk) = 1 and vecr.(3hati+hatj-2hatk) = 2 is vecr.(2hati+8hatj+7hatk) = 7 .

Equation of a plane passing through the intersection of the planes vecr.(3hati-hatj+hatk)=1 and vecr.(hati+4hatj-2hatk)=2 and passing through the point (hati+2hatj-hatk) is :

Find the equation of the plane through the line of intersection of the planes vecr.(2hati-3hatj+4hatk)=1 and vecr.(hati-hatj)+4=0 and perpendicular to the plane vecr.(2hati-hatj+hatk)+8=0 .

Find the vector equation of the plane vecr = 2 hati + hatj - 3 hatk + lamda ( 2hatj +hatk) + mu(5 hati + 2 hatj + hatk) in scalar product form.

The plane through the point (-1,-1,-1) nd containing the line of intersection of the planes vecr.(hati+3hatj-hatk)=0 ,vecr.(hatj+2hatk)=0 is (A) vecr.(hati+2hatj-3hatk)=0 (B) vecr.(hati+4hatj+hatk)=0 (C) vecr.(hati+5hatj-5hatk)=0 (D) vecr.(hati+hatj-3hatk)=0

Find the equation of a plane passing through the intersection of the planes vecr.(2hati-7hatj+4hatk)=3 and vecr.(3hati-5hatj+4hatk) + 11 - 0 and passes through the point (-2hati+hatj+3hatk) .

Find the Cartesian equation of the following plane: vecr=(lamda-2mu)hati+(3-mu)hatj+(2lamda+mu)hatk .

Find the Cartesian equation of the plane whose vector equation is vecr.(3hati+4hatj-2hatk)=5 .