Find the vector equation to the plane through the point `-hati+3hatj+2hatk ` perpendicular to each of the planes `vecr.(hati+2hatj+2hatk)=25 and vecr.(3hati+3hatj+2hatk)=8.`

Find the equation of the plane through the point hati+4hatj-2hatk and perpendicular to the line of intersection of the planes vecr.(hati+hatj+hatk)=10 and vecr.(2hati-hatj+3hatk)=18.

The angle between the planes vecr.(2hati-hatj+hatk)=6 and vecr.(hati+hatj+2hatk)=5 is

Find the angle between the planes vecr.(hati+hatj-2hatk)=3 and vecr.(2hati-2hatj+hatk)=2 2

The equation of plane passing through the point hati+hatj+hatk and paralel to the plane vecr.(2hati-hatj+2hatk)=5 is

The vector equation of a plane which contains the line vecr=2hati+lamda(hatj-hatk) and perpendicular to the plane vecr.(hati+hatk)=3 is

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

Find the direction cosines of the unit vector perpendcular to the plane vecr.(2hati+2hatj-3hatk)=5 and vecr.(3hati-3hatj+5hatk)=3

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 vector equation of a plane passing through the intersection of the planes vecr.(hati+hatj+hatk) = 6 and vecr. (2hati+3hatj+4hatk) - 5 = 0 and through the point (2,2,1) .

Find the vector equation of the plane passing through the intersection of the planes vecr.(hati+hatj+hatk)=6, vecr.(2hati+3hatj+4hatk)=-5 and the point (1,1,1) .