The three vectors `hati+hatj, hatj+hatk, hatk+hati` taken two at a time form three planes. The three unit vectors drawn perpendicular to these three planes form a parallelopiped of volume.

Three vectors 7hati-11hatj+hatk, 5hati+3hatj-2hatk and 12hati-8hatj-hatk forms

Three vectors a=hati+hatj-hatk, b=-hati+2hatj+hatk and c=-hati+2hatj-hatk , then the unit vector perpendicular to both a+b and b+c is

The three vectors 7 hati - 11 hatj + hatk, 5 hati + 3 hatj - 2 hatk, 12 hati - 8 hatj- hatk from :

The three vectors vecA=3hati-2hatj+hatk, vecB=hati-3hatj+5hatk and vecC=2hati+hatj-4hatk form

If veca=hati+hatj+hatk and vecb=hati-hatj then the vector (veca.hati)hati+(veca.hatj)hatj+(veca.hatk)hatk,(vecb.hati)hati+(vecb.hatj)hatj+(vecb.hatk)hatk and hati+hatj-2hatk (A) are mutually perpendicular (B) are coplanasr (C) form a parallelopiped of volume 6 units (D) form as parallelopiped of volume 3 units

if the vectors 2hati-3hatj,hati+hatj-hatk and 3 hati-hatk from three concurrent edges of a parallelpiped, then find the volume of the parallelepied.