The vector equation of the plane through the point `2hati-hatj-4hatk` and parallel to the plane `vecr.(4hati-12hatj-3hatk)-7=0`, is

Find the vector equation of the plane through the point (3hati+4hatj-hatk) and parallel to the plane vecr(2hati-3hatj+5hatk)+5=0 .

The vector equation of the plane through the point (2,1,-1) and parallel to the plane vecr.(hati+3hatj-hatk)=0 is

Find the vector equation of the plane passing through the point (3hati+4hatj+2hatk) and parallel to the vectors (hati+2hatj+3hatk) and (hati-hatj+hatk) .

Find the equation of the plane through the point (3,4,-1) and parallel to the plane vecr.(2hati-3hatj+5hatk)+7=0

Find the equation of the plane which passing through the points hati+ hatj+ hatk and parallel to the plane vecr.(2 hati-hatj+2 hatk)=5

Write the vector equation of the plane passing through the point (a, b,c) and parallel to the plane vecr. (hati + hatj + hatk) = 2.

Find the vector and Cartesian equations of the plane passing through the point (1,2,-4) and parallel to the lines vecr=(hati+2hatj+hatk)-lambda(2hati+3hatj+6hatk) and vecr=(hati-3hatj+5hatk)+mu(hati+hatj-hatk) .

Find the Cartesian equation of the plane through the point with position vector 2hati-hatj+hatk and perpendicular to the vector 4hati+2hatj-3hatk .

Find the distance of the point (2hati-hatj-4hatk) from the plane vecr.(3hati-4hatj+12hatk)=9 .