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

Answer

b

Explanation

Let `veca xx vecb = x hati + y hatj + zhatk`. Therefore,
,` [veca vecb hati] = (veca xx vecb) . Hati =x`
`[veca vecb hatj] = (veca xx vecb ) . Hatj = y `
`[veca vecb veck] = (veca xx vecb) . Hatk =z`
Hence, ` [ veca vecb hati] hati + [ veca vecb hatj] hatj`
` [ veca vecb hatk] hatk = xhati = yhatj + zhatk + veca xx vecb `