If `vec a = p vec i+ 3 vec j- 7vec k` ,`b =pvec i-p vec j+4vec k` and if the angle between a and b is acute, then the values of p lies in

If | vec a | = 2, | vec b | = 7 and vec a xxvec b = 3vec i + 2vec j + 6vec k then vec a * vec b =

If the vectors pvec i-5vec j+6vec k and 2vec i-3vec j-qvec k are collinear,find p and q

If vec a = i-j+k and vec b = 2i+j-k then |2 vec a - vec b|=

Find lambda if the vectors vec a= vec i+3 vec j+ vec k , vec b= 2 vec i- vec j- vec k and vec c= lambda vec i+7 vec j+ 3 vec k are coplanar

If vec a = i+j+k, vec a. vec b = 1 and vec a xx vec b = j-k then vec b =

vec a = vec i + 2vec j + 3vec k, vec b = -vec i + 2vec j + vec k, rArr3vec i + vec j and vec d is normal to both vec a and vec b then (vec c, vec d)

If vec a = i +j and vec b = j-k then the angle between vec a + vec b and vec a - vec b is

vec a=2vec i+3vec j-vec k,vec b=-vec i+2vec j-4vec k and vec c=vec i+vec j+vec k then find thevalue of (vec a xxvec b)*(vec a xxvec c)

if the vectors vec a=vec i+vec j+vec k, , b=vec i-vec j+2vec k and vec c=xvec i+(x-2)vec j-vec k are coplanar then x is