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Show that the scalar product of two ve...

Show that the scalar product of two vectors obeys the law of disrtrictive

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According to figure ,
`Ovec(P)= vec(A ) , O vec (Q) = vec(B) and vec(QR) = vec(C )`
Now `vec(A) . (vec(B) +vec(C )) ` = (Magnitude of `vec(A)) xx `
( Component of `vec(B) +vec(C )` along the dirction of `vec(A)`)
`= |vec(A) |` (ON)
` = |vec(A)| (OM +MN)`
` = | vec(A)| OM +|vec(A)|MN`
` :. vec(A) . (vec(B) + vec(C )) = |vec(A)|xx (" component of" vec(B)" along" vec(A)) +|vec(A)|`
(component of `vec(C ) `along `vec(A)`)
` :. vec(A) . (vec(B) +vec (C )) = vec(A) . vec(B) +vec(A) .vec(C )`
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