If the magnitudes of A→,B→ and C→ a...
Question
If the magnitudes of A→,B→ and C→ are 12,5 and 13 units, respectively, and A→+B→=C, then the angle between A→ and B→ is
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If the magnitudes of ( overrightarrow{mathrm{A}}, overrightarrow{mathrm{B}} ) and ( overrightarrow{mathrm{C}} ) are 12,5 and 13 units, respectively, and ( overrightarrow{mathrm{A}}+overrightarrow{mathrm{B}}=mathrm{C} ), then the angle between ( overrightarrow{mathrm{A}} ) and ( overrightarrow{mathrm{B}} ) is
(A) zero.
(B) ( pi )
(C) ( pi / 2 )
(D) ( pi / 4 )

JEE/Engineering Exams
Physics
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If the magnitudes of A→,B→ and C→ are 12,5 and 13 units, respectively, and A→+B→=C, then the angle between A→ and B→ is
Fullscreen

( quad A+vec{B}=vec{c} )
( Rightarrow sqrt{A^{2}+B^{2}+2 A B cos theta=sqrt{c^{2}}} )
( Rightarrow A^{2}+B^{2}+2 A B cos theta=c^{2} )
( Rightarrow 12^{2}+5^{2}+2 times 12 times 5 cos theta=13^{2} )
( Rightarrow 169+120 cos theta=169 )
( Rightarrow cos 0=0 )
( Rightarrow theta=pi / 2 ) (c) Ans.

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