A) \[(-1,4,10)\]
B) \[\left( 4,-1,10 \right)\]
C) \[\left( 10,-1,4 \right)\]
D) \[\left( 1,4,10 \right)\]
Correct Answer: A
Solution :
[a] Let \[C\equiv \left( x,y,z \right)\] According to question, \[1=\frac{3+1+x}{3}\Rightarrow 4+x=3\Rightarrow x=-1\] \[\Rightarrow 2=\frac{-5+7+y}{3}\] \[\Rightarrow 2+y=6\Rightarrow y=4\And 3=~\frac{-7+6+z}{3}\] \[-1+z=9\text{ }z=10.\text{ }C\equiv \left( -1,4,10 \right)\] Hence, option [a]is correct.You need to login to perform this action.
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