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 passes through the point (2,1,-2) and parallel to the plane vecr.(3hati+hatj-hatk) = 0 .

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

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

Find the equation of the plane through the point (3,4,-5) and parallel to the vectors 3hati+hatj-hatk and hati-2hatj+hatk .

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

(i) Find the equations of the plane passing through (a,b,c) and parallel to the plane vec(r) . (hati + hatj + hatk) = 2 . (ii) Find the vector equation of the plane through the point hati + hatj + hatk and parallel to the plane vec(r). (2 hati - hatj + 2 hatk) = 5 .

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 equation of a line passing through the point (1,2,3) and perpendicular to the plane vecr.(2hati-3hatj+4hatk) = 1 .

Find the vector equation of the plane through the points A(3,-5,-1),B(-1,5,7) and parallel to the vector 3hati-hatj+7hatk

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