A unit vector perpendicular to the plane passing through the points whose position vectors are `hati-hatj+2hatk,2hati-hatk and 2hati+hatk` is

Find the unit vectors perpendicular to the plane ABC, where the position vectors of A,B and C are : 2hati-hatj+hatk,hati+hatj+2hatk and 2hati+hatk respectively.

Find the equation of a line passes through the points whose position vectors are (hati+4hatj+hatk) and (2hati-hatj+5hatk) .

Find the equation of a line passes through the points whose position vectors are (hati+4hatj+hatk) and (2hati-hatj+5hatk) .

Find a unit vector perpendicular to plane ABC when position vectors of A,B,C are 3 hati - hatj + 2hatk, hati - hatj- 3hatk and 4 hati - 3 hatj + hatk respectively.

What is the vector equation of line through the points with position vectors hati+hatj+2hatk and 2hati+hatk .

What is the vector equation of line through the points with position vectors hati+hatj+2hatk and 2hati+hatk .

Find the vector equation of the plane passing through the point hati + hatj -2hatk and hati + 2hatj + hatk, 2hati - hatj + hatk.

The vector equation of the plane passing through the points hati+hatj-2hatk,2hati-hatj+hatk and hati+hatj+hatk , is

The vector equation of the plane passing through the points hati+hatj-2hatk,2hati-hatj+hatk and hati+hatj+hatk , is