If ` vec p=5 vec i+lambda vec j-3 vec k` and ` vec q= vec i+3 vec j-5 vec k ,` then find the value of `lambda` , so that ` vec p+ vec q` and ` vec p- vec q` are perpendicular vectors.

If p=5hat i+lambdahat j-3hat k and vec q=hat i+3hat j-5hat k then find the value of lambda such that vec p+vec q and vec p-vec q are perpendicular vectors.

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 vec b=2 vec i + 3 vec j - vec k and vec c= vec i + 4 vec j + 5 veck then find a vector vec a such that vec b * vec a =0 and vec c * vec a=0 . Also find the unit vector along vec a .

(vec i + xvec j + 3vec k) xx (vec i-vec j + vec k) = 5vec i + xvec j-3vec k then x =

If vec r=3vec p+4vec q and 2vec r=vec p-3vec q then

If vec P xx vec Q= vec R, vec Q xx vec R= vec P and vec R xx vec P = vec Q then

If three vector 2vec i-vec j-vec k,vec i+2vec j-3vec k,3vec i+lambdavec j+5vec k are coplanar then the value of lambda is :

If vec p xxvec q=vec r and vec p*vec q=c, then vec q is

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

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)