Find the direction cosines of as perpendicular from origin to the plane `vecr.(2hati-2hatj+hatj)+2=0`

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 direction cosines of the unit vector perpendicular to the plane vecr cdot (6hati- 3hatj -2hatk)=3, passing through origin.

Find the length of the foot of the perpendicular from the point (1,1,2) to the plane vecr.(2hati-2hatj+4hatk)+5=0

Find the unit vector perpendicular to the plane vecr*(2hati+hatj+2hatk)=5 .

Find th equation of the plane which is at distance of 8 units from origin and the perpendicular vector from origin to this plane is (2hati+hatj-2hatk) .

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 perpendicular distance from the point (2hati+hatj-hatk) to the plane vecr.(i-2hatj+4hatk) = 3 .

Find the direction cosines of the vector 2hati+2hatj-hatk

Find the direction cosines of the vector hati+2hatj+3hatk .

The length of perpendicular from the origin to the line vecr=(4hati+2hatj+4hatk)+lamda(3hati+4hatj-5hatk) is (A) 2 (B) 2sqrt(3) (C) 6 (D) 7