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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. `(5,-1,1),(-2,0,4),(3,4,5)`
3. `(1,2,3),(-1,0,6),(3,4,5)`
4. `(5,6,1),(0,2,3),(3,-1,5)`
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Example1. Find Scalar triple product `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)` `vec A*(vec B xx vec 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` | |
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`=1 xx (5 xx 5 - 6 xx 6) -2 xx (4 xx 5 - 6 xx 2) +3 xx (4 xx 6 - 5 xx 2)` `=1 xx (25 -36) -2 xx (20 -12) +3 xx (24 -10)` `=1 xx (-11) -2 xx (8) +3 xx (14)` `= -11 -16 +42` `=15`
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