Basic Vector

[boreal blaze]

<@&1227987967939838003>

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[shrewd sorrel]

From vector addition we know that
P+R=Q(vectorially)
Now S= P+ bR (vectorially)
Now R can be again written Q-P (obv vectorially)
So S=P+(b)(Q-P)
= P(1-b) + bQ (obv vectorially again)

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Proof that
S= P+ bR

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-> S = P + A (say) now A can be shown by magnitude=b|R| and direction= R i.e. R (cap)=A(cap)
Hence A(vector) can be said to be b(R)(vector)