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BC is divided into four equal parts by P...

`BC` is divided into four equal parts by `P,Q` and `R`.The resultant of `vec(AB)` and `3vec(AC)` is

A

`vec(AR)`

B

`4vec(AR)`

C

`4vec(AP)`

D

`vec(PQ)`

Text Solution

Verified by Experts

The correct Answer is:
B
`vec(AC)+vec(CB)=vec(AB),vec(AC)+vec(4CR)=vec(AB)`
`vec(AC)+vec4((AR)-vec(AC)),vec4(AR)-3vec(AC)=vec(AB)`
`:.vec(AB)+3vec(AC)=4vec(AR)`
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Knowledge Check

  • What is the angle between vec(P) and the resultant of (vec(P)+vec(Q)) and (vec(P)-vec(Q)) ?

    A
    Zero
    B
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    B
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    C
    19 units
    D
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