If ` vec a ` is equal to `2i + 3 j + k` and `vec b` is equal to `3i + 2j + 4 k ` find out `(veca + vecb)`. `(veca - vecb)`

If vec(a) = hat(i) + hat(j) + 2 hat(k) and vec(b) = 3 hat(i) + 2 hat(j) - hat(k) , find the value of (vec(a) + 3 vec(b)) . ( 2 vec(a) - vec(b)) .

vec a = i + j + k, vec b = i-j + k, vec c = 2i + 3j-k then (vec aXvec b) Xvec c =

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=hat I + 2 hat j -3 hat k , vec B =2 hat I -hat j + hat k and vec Chat I -3 hat j + 2 hat k , then find vec A xx ( vec B xx vec C).

Let the vectors veca, vecb, vecc be such that |veca| = 2 |vecb| = 4 " and " |vec c| = 4 . If the projection of vecb on veca is equal to the projection of vec c on veca and vec b is perpendicular to vec c , then the value of |veca + vecb - vec c | is ______ .

If vec(A) = 2 I + j - k , vec(B) = I + 2 j + 3 k , and vec(C ) = 6 i - 2 j - 6 k ,then the angle between (vec(A) + vec(B)) and vec(C ) will be

Let vec a = 2i + j + k, vec b = i + 2j + k and vec c = 2i-3j + 4k, A vector vec r satisfying vec r xxvec b = vec c xxvec b and vec r * vec a = 0 , is

If vec(a) = hat(i) + 2 hat(j) + 3 hat(k) and vec(b) = 2 hat(i) + 3 hat(j) + hat(k) , find a unit vector in the direction of ( 2 vec(a) + vec(b)) .

If (vec a xx vec b)^2 + (veca .vecb)^2 = 676 and |vecb| = 2 , then |veca| is equal to

If veca = 3hati - hatj - 4hatk , vecb = -2hati + 4hatj - 3hatk and vec c = hati + 2hatj - hatk then |3veca - 2vec b + 4vec c | is equal to