The X and Y -component of P are 7 i...
Question
The X and Y -component of P are 7 i and 6 j. Also, the X and Y-components of P+Q are 11i and 9 respectively. Then magnitude of Q is:
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The ( X ) and ( Y ) -component of ( vec{P} ) are 7 i and 6 j.
Also, the X and Y-components of ( overrightarrow{mathrm{P}}+overrightarrow{mathrm{Q}} ) are ( 11 hat{mathrm{i}} )
and 9 jespectively. Then magnitude of ( overrightarrow{mathrm{Q}} ) is:
(A) 7
(B) 6
(C) 5
(D) 13

JEE/Engineering Exams
Physics
Solution
183
Rating
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The X and Y -component of P are 7 i and 6 j. Also, the X and Y-components of P+Q are 11i and 9 respectively. Then magnitude of Q is:
Fullscreen

( vec{p}=7 i+6hat{j} )
( vec{O}=a i+b j )
( vec{p}+vec{phi}=11 i+9 j )
( Rightarrow 7 i+6 hat{jmath}+a i+b j=17 i+9 j )
( Rightarrow quad a i+b j=4 i+3 hat{j}=vec{g} )
( begin{aligned} therefore quad|vec{Q}|=& sqrt{3^{2}+4^{2}} &=5 quad text { (c) } operatorname{Ans}end{aligned} )

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