1. Find AXB
`A=(5,6,1)`,`B=(0,2,3)`

Solution:
Here `vec A=(5,6,1),vec B=(0,2,3),vec C=(5,6,1)`


`vec A xx vec B`

`=|[i,j,k],[A_1,A_2,A_3],[B_1,B_2,B_3]|`

`=|[i,j,k],[5,6,1],[0,2,3]|`

`=i(6xx3-1xx2)-j(5xx3-1xx0)+k(5xx2-6xx0)`

`=i(18-2)-j(15-0)+k(10-0)`

`=16i-15j+10k`

`=(16,-15,10)`

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2. Find AXB
`A=(1,1,1)`,`B=(1,2,3)`

Solution:
Here `vec A=(1,1,1),vec B=(1,2,3),vec C=(1,1,1)`


`vec A xx vec B`

`=|[i,j,k],[A_1,A_2,A_3],[B_1,B_2,B_3]|`

`=|[i,j,k],[1,1,1],[1,2,3]|`

`=i(1xx3-1xx2)-j(1xx3-1xx1)+k(1xx2-1xx1)`

`=i(3-2)-j(3-1)+k(2-1)`

`=i-2j+k`

`=(1,-2,1)`

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