AP EAMCET202018 Sep 2020Evening ShiftMathematicsVector AlgebraActual
Let (u ) and (v ) be two non zero vectors, if (|u+v|=|u-v| ), then
Options
- A(u ) and (v ) have the same direction
- B(u ) and (v ) are perpendicular
- C(u ) and (v ) have the opposite direction
- DData Insufficient
Correct answer
B. (u ) and (v ) are perpendicular
Step-by-step solution
(| u + v |=| u - v | ) Squaring on both sides, ( aligned | u + v |^2 & =| u - v |^2 | u |^2+| v |^2+ u v & =| u |^2+| v |^2+2( u v) 4( u v ) & =0 u , v & =0 u & v aligned ) Hence, option (b) is correct.