[" The anqle between the two vertors "],[vec A=3hat imath+4hat jmath+5vec k&vec B=8vec 1+4vec jmath-5vec k],[" will be "]

Find the angle between the vectors vec a and vec b where: vec a=3hat i-2hat j-jhat k and vec b=4hat i-hat j+8hat k

Find the angle between the vectors vec a and vec b where: vec a=2hat i-hat j+2hat k and vec b=4hat i+4hat j-2hat k

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

The area of the triangle formed by the points whose position vectors are -3vec i+vec j,5vec i+2vec j+vec k and vec i-2vec jmath+3vec k is

The sum and difference of two vectors vec A and vec B are , vec A+vec B=2hat i+6hat j+hat k and vec A-vec B=4hat i+2hat j-11hat k . Find the magnitude of each vector and their scalar product vec A.vec B .

vec a=2hat i+hat k,vec b=hat i+hat j+hat k and vec c=4hat i-3hat j+77 If vec d xxvec b=vec c xxvec b and vec d*vec a=0, then d will be

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= hat i+ hat j+ hat k , vec c= hat j- hat k , vec adot vec b=5 and vec ax vec b= vec c , then vec b is equal to

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