A) Are equal to each other in magnitude
B) Are not equal to each other in magnitude
C) Cannot be predicted
D) Are equal to each other
Correct Answer: A
Solution :
If two vectors are perpendicular then their dot product must be equal to zero. According to problem \[(\overrightarrow{A}+\overrightarrow{B}).(\overrightarrow{A}-\overrightarrow{B})=0\]Þ\[\overrightarrow{A}.\overrightarrow{A}-\overrightarrow{A}.\overrightarrow{B}+\overrightarrow{B}.\overrightarrow{A}-\overrightarrow{B}.\overrightarrow{B}=0\] Þ\[{{A}^{2}}-{{B}^{2}}=0\]Þ\[{{A}^{2}}={{B}^{2}}\] \[\therefore \] \[A=B\] i.e. two vectors are equal to each other in magnitude.You need to login to perform this action.
You will be redirected in
3 sec