2. Example-2
1. Find scalarTripleProduct(A,B,C)
`A=(1,2,3)`,`B=(-1,0,6)`,`C=(3,4,5)`
Solution:
Here `vec A=(1,2,3),vec B=(-1,0,6),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]|`
`=|[1,2,3],[-1,0,6],[3,4,5]|`
`=1(0xx5-6xx4)-2((-1)xx5-6xx3)+3((-1)xx4-0xx3)`
`=1(0-24)-2(-5-18)+3(-4-0)`
`=1(-24)-2(-23)+3(-4)`
`=-24+46-12`
`=10`
2. Find SCALARTRIPLEPRODUCT(A,B,C)
`A=(5,6,1)`,`B=(0,2,3)`,`C=(3,-1,5)`
Solution:
Here `vec A=(5,6,1),vec B=(0,2,3),vec C=(3,-1,5)`
`A*(B xx C)`
`=|[A_1,A_2,A_3],[B_1,B_2,B_3],[C_1,C_2,C_3]|`
`=|[5,6,1],[0,2,3],[3,-1,5]|`
`=5(2xx5-3xx(-1))-6(0xx5-3xx3)+1(0xx(-1)-2xx3)`
`=5(10+3)-6(0-9)+1(0-6)`
`=5(13)-6(-9)+1(-6)`
`=65+54-6`
`=113`
This material is intended as a summary. Use your textbook for detail explanation.
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