I have the mark scheme for this but I just dont understand how it goes about proving the right side. How should I approach it?
2026-03-28 23:57:55.1774742275
Using the algebraic properties of vectors
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If $a+b+c=0$ then $c=-(a+b)$, hence $$b\times c=b\times(-(a+b))=-b\times(a+b)=-(b\times a+b\times b)=-b\times a=a\times b.$$ A similar calculation does the trick for $c\times a$.