Question

find the value of the following

Answer 1

Answer:

Given that:

${x}^{2} + {y}^{2} + {z}^{2} = 2 \\ x + y + z = 0$

We know that,

${(x + y + z)}^{2} = {x}^{2} + {y}^{2} + {z}^{2} + 2 \: (xy + yz + zx)$

$0 = 20 + 2 \: (xy + yz + zx) \\ - 20 = 2 \: (xy + yz + zx) \\ \frac{ - 20}{2} = (xy + yz + zx) \\ (xy + yz + zx) = - 10$

Hope this helps you..

Plz mark as Brainliest :-)