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`-27,18,54``27,-18,54``27,-18,-54``-27,-18,-54`

Answer :

BSolution :

Let the components of line segment on axes are x,y and z. <br> So, `x^(2)+y^(2)+z^(2)=63^(2)` <br> Now, `(x)/(3)=(y)/(-2)=(z)/(6)=k` <br> `because(3k)^(2)+(-2k)^(2)+(6k)^(2)=63^(2)` <br> `k=+-(63)/(7)=+-9` <br> `therefore` Components are `(27,-18,54)` or `(-27,18,-54)`.