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Definition and examples
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Vector Algebra
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Vector Operation
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Cross Product of two vectors calculator |
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- `(3,1,1), (-1,2,1)`
- `(2,3,1), (0,5,6)`
- `(2,1,-1), (1,0,-1)`
- `(5,6,1), (0,2,3)`
- `(5,-1,1), (-2,3,4)`
- `(2,3,-1), (3,2,1)`
- `(1,1,1), (2,-1,-1)`
- `(1,1,1), (1,2,3)`
- `(2,3), (7,18)`
- `(-2,3), (-4,5)`
- `(6,3), (4,5)`
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Mode =
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Decimal Place =
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Solution
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Solution provided by AtoZmath.com
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Cross Product of two vectors calculator
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 1. `(3,1,1), (-1,2,1)`
2. `(2,3,1), (0,5,6)`
3. `(2,1,-1), (1,0,-1)`
4. `(5,6,1), (0,2,3)`
5. `(5,-1,1), (-2,3,4)`
6. `(1,1,1), (1,2,3)`
7. `(2,3), (7,18)`
8. `(-2,3), (-4,5)`
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Example1. Find AxB
`A=(3,1,1)`,`B=(-1,2,1)`
Solution:
Here `vec A=(3,1,1),vec B=(-1,2,1)`
`vec A xx vec B`
`=|[i,j,k],[A_1,A_2,A_3],[B_1,B_2,B_3]|`
`=|[i,j,k],[3,1,1],[-1,2,1]|`
`=i(1xx1-1xx2)-j(3xx1-1xx(-1))+k(3xx2-1xx(-1))`
`=i(1-2)-j(3+1)+k(6+1)`
`=-i-4j+7k`
`=(-1,-4,7)`
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