यदि `vec(a)=2hati+3hatj-hatk` तथा `vec(b)=hati+2hatj+3hatk, vec(a)xx vec(b)` ज्ञात करें |

Options

A. `11hati-7hatj-hatk`
B. `11hati+7hatj+hatk`
C. `11hati-7hatj+hatk`
D. `11hati-hatj+hatk`

Answer

C

Explanation

दिया है,
`vec(a)=2hati+3hatj-hatk` तथा `vec(b)=hati+2hatj+3hatk`

अब, `vec(a)xx vec(b)=|{:(hati,,hatj,,hatk),(2,,3,,-1),(1,,2,,3):}|`

`=(9-(-2))hati-(6-(-1))hatj+(4-3)hatk`

`=(9+2)hati-(6+1)hatj+(4-3)hatk`

`=11hati-7hatj+hatk`