Find the value of `|(3hati+hatj)xx(2hati-hatj)|`

Find the value of |(hati+hatj)xx(hati+2hatj+hatk)|

Find the values of . (a) (4hatj) xx (-6hatk) (b) (3hatj).(-4hatj) (c) (2hati) - (-4hatk) .

Find the vector of length 3 unit which is perpendicular to hati+hatj+hatk and lies in the plane of hati+hatj+hatk and 2hati-3hatj

Prove that: (2hati+3hatj)xx(hati+2hatj)=hatk

The value of hati.(hatj xx hatk) + hatj.(hati xx hatk) + hatk.( hati xx hatj) is

Find the shortest distance between the lines vecr = hati+hatj+lambda(2hati-hatj+hatk) and vecr = (2 hati+hatj-hatk) + mu (3hati-5hatj + 2hatk)

Vectors perpendicular to hati-hatj-hatk and in the plane of hati+hatj+hatk and -hati+hatj+hatk are (A) hati+hatk (B) 2hati+hatj+hatk (C) 3hati+2hatj+hatk (D) -4hati-2hatj-2hatk

Find the shrotest distance between the lines vecr = hati+hatj+ lambda(2hati-hatj+hatk) and vecr= 2hati+hatj-hatk+mu(2hati-hatj+hatk) .

The value of lamda for which the vectors 3hati-6hatj+hatkand2hati-4hatj+lamdahatk parallel, is

Find a unit vector perpendicular to both the vectors (2hati+3hatj+hatk) and (hati-hatj+2hatk) .