2. Example-2
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)`
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)`
This material is intended as a summary. Use your textbook for detail explanation.
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