JEE Main & Advanced
Physics
Vectors
Question Bank
Addition and Subtraction of Vectors
question_answer
The magnitude of vector \[\overrightarrow{A},\,\overrightarrow{B}\] and \[\overrightarrow{C}\] are respectively 12, 5 and 13 units and \[\overrightarrow{A}+\overrightarrow{B}=\overrightarrow{C}\] then the angle between \[\overrightarrow{A}\] and \[\overrightarrow{B}\] is [CPMT 1997]
A) 0
B) \[\pi \]
C) \[\pi /2\]
D) \[\pi /4\]
Correct Answer:
C
Solution :
\[C=\sqrt{{{A}^{2}}+{{B}^{2}}}\] The angle between A and B is \[\frac{\pi }{2}\]