# What is the result: `2*(i+2j+2k)xx(2i+j+8k)`

### 1 Answer | Add Yours

The question involves finding the scalar product of 2 and the vector 1+2j+2k and the cross product of the resultant.

`2*(i+2j+2k) = 2i+4j+4k`

`(2i + 4j + 4k)xx(2i + j + 8k)`

=> `|[i,j,k],[2,4,4],[2,1,8]|`

=> i(8*4 - 4*1) + j(4*2 - 8*2) + k(2*1 - 4*2)

=> 28i - 8j - 6k

**The value of `2*(i+2j+2k)xx(2i+j+8k)=28i-8j-6k` **