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Question

If p, q and p+q are vectors of magnitude λ then the magnitude of |pq| 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+|pq|2=2(|p|2+|q|2)
λ2+|pq|2=2(λ2+λ2)
|pq|2=3λ2
|pq|=3λ.

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