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If veca + vecb = vecc and a^(2) + b^(2)...

If ` veca + vecb = vecc and a^(2) + b^(2) =c^(2)` , then prove that ` veca and vecb` are prependicular to each other .

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we have , ` vec a + vecb = vecc `
` |veca + vecb|= |vecc|`
or ` a^(2) + b^(2) + 2ab cos theta = c^(2)`
Given that = ` a^(2) + b^(2) =c^(2)`
` c^(2) + 2ab cos theta =c^(2) Rightarrow ab cos theta =0`
or ` cos theta =0 Rightarrow theta = 90^(@)`
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