If P-Q- R- and P-Q- S- prove that R2-S2- P2-Q2

Here, (P⃗+Q⃗).(P⃗+Q⃗)=R⃗.R⃗ or P^2+Q^2+2P⃗.Q⃗=R^2 #160;...(1) Also, (P⃗ Q⃗).(P⃗ Q⃗)=S⃗.S⃗ or P^2+Q^2 2P⃗.Q⃗=S^2 #160;...(2) (1)+( ...

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Chain Rule of Differentiation

If P⃗+Q⃗= R...

Question

If $\to P + \to Q = \to R a n d \to P - \to Q = \to S,$ prove that $R^{2} + S^{2} = (P^{2} + Q^{2})$

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