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If C = 3a- 2b Prove That A B C=0 - Mathematics and Statistics

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Sum

If `bar c = 3bara- 2bar b ` Prove that `[bar a bar b barc]=0`

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Solution

Given `barc=3bara-2barb`

Prove that `[bar a bar b barc]=0`

`barb xxbarb = 0` If in a scalar triple product, two vectors are equal, then the secalar triple product is zero.

`L.H.S=[bara barb barc]`

`=bara (barbxxbarc)`

`=bara(barbxx(3bara-2barb))`

`=bara(3baraxxbarb-2barbxxbarb)`

`=bara(3baraxxbarb-0)`

`=2baraxxbaraxxbarb`

`=2xx0xxbarb`

`=0`

Hence Proved

Concept: Scalar Triple Product of Vectors
  Is there an error in this question or solution?

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