Answer:
The
sum and difference of two vectors \[\vec{A}\] and \[\vec{B}\] are (\[\vec{A}\]+\[\vec{B}\])
and (\[\vec{A}\] - \[\vec{B}\]). If these are perpendicular to each other, then
their dot product should be zero, i.e.
\[(\vec{A}+\,\vec{B})\text{ }.\vec{A}-\,\vec{B}~=\text{ }0\]= 0 or
\[\vec{A}.\,\vec{A}-\vec{A}.\vec{B}+\vec{B}.\vec{A}-\vec{B}.\vec{B}=0\]
or \[{{\text{A}}^{\text{2}}}-{{\text{B}}^{\text{2}}}=0\]or \[{{\text{A}}^{\text{2}}}={{\text{B}}^{\text{2}}}\]or
\[\text{A}=\pm \text{B}\]
You need to login to perform this action.
You will be redirected in
3 sec
