If `vec A` is equals to `3i + j + 2k` and `vec B` is equals to `i - 2j + 4k` then unit vector perpendicular to the plane containing `vec A` and `vec B` is.

Find vec a unit vector perpendicular to each of the vectors vec a=3i+2j-3k and vec b=i+j-k

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

If vec a=hat i+2hat j+hat k,vec b=2hat i+hat j and vec c=3hat i-4hat j-5hat k then find a unit vector perpendicular to both of the vector (vec a-vec b) and (vec c-vec b)

If vec a=i+2j+k,vec b=2i+j and vec c=3i-4j-5k, then find a unit vector perpendicular to both of the vectors (vec a-vec b) and (vec c-vec b)

If vec A= 3i + j +2k and vec B = 2i - 2j +4k and theta is the angle between the two vectors, then sin theta is equal to

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

(a) Prove that the normal to the plane containing three points whose position vectors are vec(a), vec(b), vec(c ) lie in the direction of vec(b)xx vec(c )+vec(c )xx vec(a)+vec(a)xx vec(b) . (b) Find the unit vector perpendicular to the plane ABC, where the position vectors of A, B and C are : 2hat(i)-hat(j)+hat(k), hat(i)+hat(j)+2hat(k) and 2hat(i)+hat(k) respectively.

If vec a= hat i+ hat j+ hat k , vec b=2 hat i- hat j+3 hat k a n d vec c= hat i-2 hat j+ hat k find a unit vector parallel to 2 vec a- vec b+3 vec cdot

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

Let vec a = hat i + hat j + hat k, vec b = hat i + 4 hat j - hat k, vec c = hat i + hat j + 2 hat k and hat s be a the unit vector the magnitude of the vector (vec a .vec s)(vec b xx vec c) + (vec b. vec s)(vec c xx vec a) + ( vec c.vec s)(vec a xx vec b) is equal to (A) 1 (B) 2 (C) 3 (D) 4