If A=(1,3,-5) and B=(3,5,-3), then the vector equation of the plane passing through the midpoint of AB and perpendicular to AB is
Options:
A .  
r.(^i+^j+^k)=2
B .  
r.(^i+^j−^k)=2
C .  
r.(^i−^j+^k)=2
D .  
None
Answer: Option A : A −−→AB=−−→OB−−−→OA=(3^i+5^j−3^k)−(^i+3^j−5^k)=2^i+2^j+2^k Midpoint of AB is (2, 4, -4) Vector equation of the plane is [r−(2^i+4^j−4^k)].(2^i+2^j+2^k)=0 ⇒r.(^i+^j+^k)=2+4−4⇒r.(^i+^j+^k)=2
Submit Your Solution hear: