if vectors `vecA = 2hati + 3hatj + 4hatk , vecB = hati + hatj + 5hatk and vecC` from a left - handed system, then `vecC` is

Options

A. a)`11 hati - 6 hatj - hatk`
B. b)`-11 hati - 6 hatj - hatk`
C. c)`-11 hati - 6 hatj + hatk`
D. d)`-11 hati + 6 hatj - hatk`

Answer

b,d

Explanation

For `vecA, vecB and vecC` to form a left- handed system
`[vecA vecB vecC] lt 0`
`vecA xx vecV=|{:(hati,hatj,hatk),(2,3,4),(1,1,5):}|=11hati -6hatj-hatk`
(i) is satisfied by options (b) and (d)