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Definition and examples
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Vector Algebra
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Vector Operation
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Scalar triple product calculator |
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- `(1,2,3), (4,5,6),(2,6,5)`
- `(1,2,3), (-1,0,6),(3,4,5)`
- `(5,-1,1), (-2,0,4),(3,4,5)`
- `(5,6,1), (0,2,3),(3,-1,5)`
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Solution
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Solution provided by AtoZmath.com
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Scalar triple product calculator
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 1. `(1,2,3), (4,5,6),(2,6,5)`
2. `(1,2,3), (-1,0,6),(3,4,5)`
3. `(5,-1,1), (-2,0,4),(3,4,5)`
4. `(5,6,1), (0,2,3),(3,-1,5)`
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Example1. Find scalarTripleProduct(A,B,C)
`A=(1,2,3)`,`B=(4,5,6)`,`C=(2,6,5)`
Solution:
Here `vec A=(1,2,3),vec B=(4,5,6),vec C=(2,6,5)`
`A*(B xx C)`
`=|[A_1,A_2,A_3],[B_1,B_2,B_3],[C_1,C_2,C_3]|`
`=|[1,2,3],[4,5,6],[2,6,5]|`
`=1(5xx5-6xx6)-2(4xx5-6xx2)+3(4xx6-5xx2)`
`=1(25-36)-2(20-12)+3(24-10)`
`=1(-11)-2(8)+3(14)`
`=-11-16+42`
`=15`
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