If →p, →q and →p+→q are vectors of magnitude λ then the magnitude of |→p−→q| is
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Solution
Let, →p, →q and →p+→q are vectors of magnitude λ then |→p|=λ, |→q|=λ, |→p+→q|=λ. We have, |→p+→q|2+|→p−→q|2=2(|→p|2+|→q|2) ⇒λ2+|→p−→q|2=2(λ2+λ2) ⇒|→p−→q|2=3λ2 ⇒|→p−→q|=√3λ.