If a = i + j + k, b = 4i + 3j + 4k, c = i + `alpha j + beta k` are linearly dependent and `|c| = sqrt(3)` then

If a = 3i - 2j + k, b = 2i - 4j - 3k, c = -i + 2j + 2k then a + b + c =

If a = I + j - k, b = I - j + k, c = I - j - k then a xx (b xx c) =

vec a=hat i+hat j+hat k,vec b=4hat i+3hat j+4hat k and vec c=hat i+alphahat i+betahat k are linearly dependent vectors and |vec c|=sqrt(3). then

If vec a= hat i+ hat j+ hat k , vec b=4 hat i+3 hat j+4 hat k and vec c= hat i+alpha hat j+beta hat k are linearly dependent vectors & | vec c| = sqrt(3) , then ordered pair (alpha,beta) is (a) (1,1) (b) (1,-1) (c) (-1,1) (d) (-1,-1)

If vec a= hat i+ hat j+ hat k , vec b=4 hat i+3 hat j+4 hat k and vec c= hat i+alpha hat j+beta hat k are linearly dependent vectors & | vec c| = sqrt(3) , then ordered pair (alpha,beta) is (a) (1,1) (b) (1,-1) (c) (-1,1) (d) (-1,-1)

If vec a= hat i+ hat j+ hat k , vec b=4 hat i+3 hat j+4 hat k and vec c= hat i+alpha hat j+beta hat k are linearly dependent vectors & | vec c| = sqrt(3) , then ordered pair (alpha,beta) is (1,1) (b) (1,-1) (-1,1) (d) (-1,-1)

If a = i- 2j + k, b = 2i + j - k, c = 4i + 4j + 3k then |(a xx b) xx c| =