1. Example-1
1. 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`
2. Find scalarTripleProduct(A,B,C)
`A=(5,-1,1)`,`B=(-2,0,4)`,`C=(3,4,5)`
Solution:
Here `vec A=(5,-1,1),vec B=(-2,0,4),vec C=(3,4,5)`
`A*(B xx C)`
`=|[A_1,A_2,A_3],[B_1,B_2,B_3],[C_1,C_2,C_3]|`
`=|[5,-1,1],[-2,0,4],[3,4,5]|`
`=5(0xx5-4xx4)--1((-2)xx5-4xx3)+1((-2)xx4-0xx3)`
`=5(0-16)--1(-10-12)+1(-8-0)`
`=5(-16)--1(-22)+1(-8)`
`=-80-22-8`
`=-110`
This material is intended as a summary. Use your textbook for detail explanation.
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