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If vec a\ a n d\ vec b are two vectors...

If ` vec a\ a n d\ vec b` are two vectors such that `( vec a+ vec b)dot( vec a- vec b)=0` find the relation between the magnitudes of ` vec a\ a n d\ vec bdot`

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Given: `(vec{a}+vec{b}) cdot(vec{a}-vec{b})=0 `

`Rightarrow|vec{a}|^{2}-|vec{b}|^{2}=0 `

`Rightarrow|vec{a}|^{2}=|vec{b}|^{2}`

Hence, `|vec{a}|=|vec{b}|`
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