If `vec a=hat i+lambdahat j+hat k` and `vec b=hat i+hat j+hat k` and `|vec a+vec b|=|vec a|+|vec b|` then the value of `lambda` is

If vec a=3hat i+4hat j and vec b=hat i+hat j+hat k, find the value of |vec a xxvec b|

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

If vec a=hat i-hat j and vec b=-hat j+2hat k, find (vec a-2vec b)*(vec a+vec b)

If vec a=hat i-hat j and vec b=-hat j+hat k find the projection of vec a on vec b

If vec a= hat i+ hat j+ hat k , vec b= hat i- hat j+ hat k , vec c= hat i+2 hat j- hat k , then find the vaue of | vec adot vec a vec adot vec b vec adot vec c vec bdot vec a vec bdot vec a vec bdot vec a vec cdot vec a vec cdot vec a vec cdot vec a| .

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

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+hat j+hat k,vec B=4hat i+4hat j+4hat k and vec R=vec A+vec B then angle that vec R makes with vec A is

If vec a=5hat i-hat j-3hat k and vec b=hat i+3hat j-5hat k then show that the vectors vec a+vec b and vec a-vec b are perpendicular.

If vec a=5hat i-hat j-3hat k, and vec b=hat i+3hat j-5hat k then show that the vectors vec a+vec b and vec a-vec b are perpendicular.