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Show that (a→-b→)×(a→+b→)=2(a→×b→). - Mathematics

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प्रश्न

Show that `(veca - vecb) xx (veca + vecb) = 2(veca xx vecb)`.

योग

उत्तर

We have to prove that, `(veca + vecb) xx (veca - vecb) = 2(veca xx vecb)`

`(veca + vecb) xx (veca - vecb) = (veca - vecb) xx veca + (veca - vecb) xx vecb` 

= `veca xx veca - vecb xx veca + veca xx vecb - vecb xx vecb`

= `2(veca xx vecb)`

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अध्याय 10: Vector Algebra - Exercise 10.4 [पृष्ठ ४५४]

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एनसीईआरटी Mathematics [English] Class 12
अध्याय 10 Vector Algebra
Exercise 10.4 | Q 4 | पृष्ठ ४५४

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