Find the equation of the plane passing through the point `A=(3,-2,-1)` and perpendicular to the vactors `vecb = hati-2hatj-4hatk, vecc=3hati+2hatj-5hatk.`

The cartesion equation of th plane passing through the point (3,-2,-1) and parallel to the vectors b=hati-2hatj+4hatk "and" c=3hati+2hatj-5hatk is

Find the equation of the line passing through the point (1,-2,3) and perpendicular to the lines : vecr=(hati-2hatj+hatk)+lambda(hati+hatj+hatk) and vecr=(hati-hatj+2hatk)+mu(3hati-2hatj-5hatk)

Find Cartesian equations of the line passing through the point A(2,1,-3) and perpendicular to vectors hati +hatj + hatk and hati +2hatj -hatk

Find the equation of the plane passing through the point hati-hatj+hatk and perpendicular to the vectro 3hati-hatj-2hatk and show that the point 2hati+4hatj lies on the plane.

Find the equation of the plane passing through the point hati-hatj+hatk and perpendicular to the vectro 3hati-hatj-2hatk and show that the point 2hati+4hatj lies on the plane.

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

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

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

Find a vector perpendicular to both : veca=3hati-2hatj+hatk and vecb=hati+4hatj-hatk .