If `veca=2hati+lambda hatj+3hatk, vecb=3hati+3hatj+5hatk, vec c=lambda hati+2hatj+2hatk` are inearly dependent vectors, then the number of possible values of `lambda` is :

If veca =hati + hatj - hatk, vecb = 2hati + 3hatj + hatk and vec c = hati + alpha hatj are coplanar vector , then the value of alpha is :

If veca = hati - hatj + hatk, vecb= 2 hati + hatj -hatk and vec c = lamda hati -hatj+ lamda hatk are coplanar, find the value of lamda.

If veca = 2 hati - 3hatj, vecb = hati + hatj -hatk, vecc = 3hati - hatk, find [a vecb vecc]

If veca=2hati+3hatj+hatk, vecb=hati-2hatj+hatk and vecc=-3hati+hatj+2hatk , then [veca vecb vecc]=

If vector vec a = hati + hatj + hatk , vecb = 4 hati + 3 hatj + 4 hatk and vec c = hati + alpha hatj + beta hatk are linearly dependent and | vec c | = sqrt3 , then value of | alpha | + | beta | is

If veca = 5 hati- 4 hatj + hatk, vecb =- 4 hati + 3 hatj - 2 hatkand vec c = hati - 2 hatj - 2 hatk, then evaluate vec c. (veca xx vecb)

If veca = 2hati+2hatj+3hatk, vecb = -hati+2hatj+hatk and vecc = 3hati+hatj such that veca+lambdavecb is perpendicular to vecc then find the value of lambda .

If veca = 3hati - hatj - 4hatk , vecb = -2hati + 4hatj - 3hatk and vec c = hati + 2hatj - hatk then |3veca - 2vec b + 4vec c | is equal to

If vec a=3hati-hatj+4hatk, vecb=2hati+3hatj-hatk and vec c=-5hati+2hatj+3hatk , then vec a.(vecb xx vec c) is