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can't even work out where to start with this question, looked online at differences between vectors, found the difference between p & q to be 6root2. Any help very much appreciated.enter image description here

enter image description here

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  • $\begingroup$ Hint: what exactly does the condition $d(p,x)=d(q,x)$ mean? Literally, it says "the distance between p and x equals the distance between q and x." What does this tell you about the vector $x$? Surely you can think of such a vector. $\endgroup$ Nov 14 '17 at 21:46
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Just take the mipoint of the two vectors $ \left( \begin{array}{ccc} 3 \\ 1 \\ -3 \\ \end{array} \right). $

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  • $\begingroup$ ok thank you, i think the 0 after the x just threw me off track and confused me, glad it's got such a simple solution $\endgroup$
    – danielden
    Nov 15 '17 at 20:36

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