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

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

Find the value of |hatixx(hati+hatj+hatk)|

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

Find a unit vector in the direction of the resultant of the vectors (hati+2hatj+3hatk),(-hati+2hatj+hatk) and (3hati+hatj) .

Find the direction cosines of the resultant of the vectors (hati+hatj+hatk),(-hati+hatj+hatk),(hati-hatj+hatk) and (hati+hatj-hatk) .

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 angle between the lines vecr = (hati+hatj)+lambda(3hati+2hatj+6hatk) and vecr = (hati-hatk) + mu(hati+2hatj+2hatk)

Find the angle between the line: vecr=4hati-hatj+lamda(hati+2hatj-2hatk) and vevr=hati-hatj+2hatk-mu(2hati+4hatj-4hatk)