If `vec a and vec b` be two perpendicular units such that `vec x = vec b -(vec a xx vec x),` then `|vec x|` is

If vec a and vec b be two perpendicular units such that vec x=vec b-(vec a xxvec x), then |vec x| is

If vec a and vec b are not perpendicular to each other and vec r xx vec a = vec b xx vec a, vec r. vec c = vec 0 then vec r =

If vec a and vec b are unit vectors such that |vec a xx vec b| = vec a . vec b , then |vec a + vec b|^(2) =

If vec a and vec b are two non- zero vectors such that | vec a + vec b| = |vec a - vec b| , then show that vec a and vec b are perpendicular.

Let vec a and vec b be two non collinear unit vectors. If vec u = vec a - (vec a . vec b) vec b and vec nu = vec a xx vec b , then |vec nu| =

If vec a, vec b, vec c are mutually perpendicular unit vectors then |vec a + vec b + vec c| =

If vec a and vec b are two vectors such that vec a + vec b is perpendicular to vec a - vec b ,then prove that |vec a| = |vec b| .

If vec a and vec b are unit vectors and vec c is such that vec c is such that vec c = vec c = vec a xx vec c + vec b then maximum value of [veca vec b vec c] is

If vec a and vec b are two vectors such that |vec a+vec b|=|vec a|, then prove that vector 2vec a+vec b is perpendicular to vector vec b

If vec a and vec b are two vectors such that |quad vec a + vec b|= |quad vec a| , then prove that 2 vec a+ vec b is perpendicular to the vector vec b .