Let `vec u` be a vector coplanar with the vectors `vec a = 2 hat i + 3 hat j - hat k` and `vec b= hat j+hatk` If `vec u` is perpendicular to `vec a` and `vec u.vecb=24` then `|vecu|^2` is equal to

The unit vector perpendicular to vec A = 2 hat i + 3 hat j + hat k and vec B = hat i - hat j + hat k is

let vec a=hat i+hat j-hat k and vec b=hat i-hat j-hat k and vec c be a unit vector perpendicular to vec a and coplanarwith vec a and vec b then vec c is

Let a vector vec(a) be coplanar with vectors vec(b) = 2hat(i) + hat(j) + hat(k) and vec(c) = hat(i) - hat(j) + hat(k) . If vec(a) is perpendicular to vec(d) = 3hat(i) + 2hat(j) + 6hat(k) , and |vec(a)| = sqrt(10) . Then a possible value of [[vec(a),vec(b),vec(c)]] + [[vec(a), vec(b), vec(d)]] + [[vec(a),vec(c),vec(d)]] is equal to :

If vec a=hat i+hat j+hat k and vec b=hat j-hat k, find a vector vec c such that vec a x vec c=vec b and vec a*vec c=3

Find the angle between the vectors vec a and vec b where: vec a=hat i-hat j and vec b=hat j+hat k

For given vectors,vec a=2hat i-hat j+2hat k and vec b=-hat i+hat j-hat k find the unit vector in the direction of the vector quad vec a+vec b

Let vec a=hat i-hat j,vec b=3hat j-hat k and vec c=7hat i-hat k. Find a vector vec d which is perpendicular to both widehat a and vec b, and vec c .vec d=1

If vec a=3hat i-2hat j+hat k and vec b=-hat i+hat j+hat k then the unit vector parallel to vec a+vec b, is

If vec a=hat i+hat j,vec b=hat j+hat k and vec c=hat k+hat i where unit vectors parallel to vec a+vec b-2vec cdots

If vec a= hat i+ hat j+ hat k , vec c= hat j- hat k , vec adot vec b=3 and vec ax vec b= vec c , then vec b is equal to