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Three vectors overset(rarr)P,overset(ra...

Three vectors `overset(rarr)P,overset(rarr)Q` and `overset(rarr)R` are shown in the figure. Let S be any point on the vector `overset(rarr)R` The distance between the point P and S is `|overset(rarr)R|` . The general relation among vectors `overset(rarr)P,overset(rarr)Q` and `overset(rarr)S` is :

A

`overset(rarr)S=(l-b^(2))overset(rarr)l+boverset(rarr)Q`

B

`overset(rarr)S=(b-i^(2))overset(rarr)l+boverset(rarr)Q`

C

`overset(rarr)S=(l-b)overset(rarr)l+boverset(rarr)Q`

D

`overset(rarr)S=(l-b^(2))overset(rarr)l+b^(2)overset(rarr)Q`

Text Solution

Verified by Experts

The correct Answer is:
c
`barS=barP+barR=barP+b barQ-barP=barP(1-b)+bbarQ`
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