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If |veca+vecb|=|vecas-vecb|, (veca,vecb!...

If `|veca+vecb|=|vecas-vecb|, (veca,vecb!=vec0)` show that the vectors `veca and vecb` are perpendicular to each other.

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`|vecA+vecB|=|vecA-vecB|`
`|vecA+vecB|^(2)=|vecA-vecB|^(2)`
`A^(2)+B^(2)+2AB cos theta=A^(2)=B^(2)-2AB cos theta.`
`4AB cos theta=0`
As `Ane 0, Bne0, cos theta=0`
`rArr theta=90^(@)`
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