परिमाण `10sqrt(3)` के सभी सदिश ज्ञात कीजिए जो सदिशों `hati+2hatj+hatk` और `-hati+3hatj+4hatk` के समतल पर लम्ब हैं |

Find the vectors of magnitude 10sqrt(3) that are perpendicular to the plane which contains hati+2hatj+hatk and hati+3hatj+4hatk

If a = 2 hati + j - 3 hatk , b = hati - 2 hatj + 3hatk , c = - hati + hatj - 4hatk and d = hati + hatj + 2hatk , then (a xx b) xx ( c xx d) =

Show that the vectors hati -2 hatj+3hatk , -2hati+3hatj-4hatk and hati -3hatj +5hatk are coplanar.

A unit vector coplanar with hati + hatj + 2 hatk and hati + 2 hatj + hatk, and perpendicular to hati + hatj + hatk is : a) ((hatj - hatk )/( sqrt2)) b) ((hati + hatj+ hatk )/( sqrt3)) c) ((hati + hatj + 2 hatk )/( sqrt6)) d) ((hati + 2 hatj + hatk )/( sqrt6))

Find all vectors of magnitude 10sqrt3 that are perpendicular to the plane of hati+2hatj+hatk and -hati+3hatj+4hatk .

The unit vector which is orthogonal to the vector 5hati + 2hatj + 6hatk and is coplanar with vectors 2hati + hatj + hatk and hati - hatj + hatk is (a) (2hati - 6hatj + hatk)/sqrt41 (b) (2hati-3hatj)/sqrt13 (c) (3 hatj -hatk)/sqrt10 (d) (4hati + 3hatj - 3hatk)/sqrt34

If a=3hati-2hatj+hatk,b=2hati-4hatj-3hatk and c=-hati+2hatj+2hatk , then a+b+c is