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

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

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

Evaluate : [2hati " " hatj " " hatk ] +[hati hatk hatj ] +[hatk hatj 2hati ]

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

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

The sum of the distinct real values of mu , for which the vectors, mu hati + hatj + hatk, hati + mu hatj + hatk, hati + hatj + muhatk are coplanar, is

The vectors lambdahati + hatj + 2hatk, hati + lambdahatj +hatk, 2hati - hatj + 2hatk are coplanar, if:

The vectors which is/are coplanar with vectors hati+hatj+2hatk and hati+2hatj+hatk and perpendicular to the vector hati+hatj+hatk is /are (A) hatj-hatk (B) -hati+hatj (C) hati-hatj (D) -hatj+hatk

The vectors which is/are coplanar with vectors hati+hatj+2hatk and hati+2hatj+hatk and perpendicular to the vector hati+hatj+hatk is /are (A) hatj-hatk (B) -hati+hatj (C) hati-hatj (D) -hatj+hatk

For any vectors veca and vecb, (veca xx hati) + (vecb xx hati) + ( veca xx hatj) . (vecb xx hatj) + (veca xx hatk ) .(vecb xx hatk) is always equal to