If `veca=hati+hatj+hatk, hatb4hati+3hatj+4hatk and vecc=hati+alphahatj+beta hatk` are linearly dependent vectors and `|vecc|=sqrt(3)` then (A) `alpha=1, beta=-1` (B) `alpha=1,beta=+-1` (C) `alpha-1,beta=+-1` (D) `alpha=+-1,beta=1`

If veca=hati+hatj+hatk, vecb=4hati+3hatj+4hatk and vecc=hati+alphahatj+betahatk are linearly dependent vectors and |vecc|=sqrt(3) then

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

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

The vector veca=alpha hati+2hatj+betahatk lies in the plane of vectors vecb=hati+hatj and vecc=hatj+hatk and bisects the angle between vecb and vecc . Then which one of the following gives possible values o alpha and beta? (A) alpha=2, beta=1 (B) alpha=1, beta=1 (C) alpha=2, beta=1 (D) alpha=1, beta=2