Physics, asked by krishnendu26, 1 year ago

2.
Figure shows three vectors a,b and č. If
RQ = 2PR, which of the following relation is
correct :-
(1) 2a + c = 3b
(2) a + 3c = 2b
(3) 3a + c = 2b
(4) a+2c= 3b​

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Answers

Answered by MaheswariS
18

Answer:

\vec{a}+2\vec{c}=3\vec{b}

option  (4) is correct

Explanation:

Formula used:

If the position vectors of A and B are \vec{OA}\:and\:\vec{OB}, then

\vec{AB}=\vec{OB}-\vec{OA}

Given:

\vec{OP}=\vec{c}

\vec{OQ}=\vec{a}

\vec{OR}=\vec{b}

Also,

\vec{RQ}=2\vec{PR}

\vec{OQ}-\vec{OR}=2(\vec{OR}-\vec{OP})

\vec{a}-\vec{b}=2(\vec{b}-\vec{c})

\vec{a}-\vec{b}=2\vec{b}-2\vec{c}

Rearranging we get

\vec{a}+2\vec{c}=3\vec{b}

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