46. If x + y - z = 5 and x2 + y2 + z2 = 29, then find the value of xy - yz – zx
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46. If x + y - z = 5 and x2 + y2 + z2 = 29, then find the value of xy - yz – zx
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Step-by-step explanation:
[tex]x + y - z = 5 \\ \\ squaring \: on \: both \: sides \: \\ {x}^{2} + {y}^{2} + {z}^{2} + 2(xy - yz - zx) = 25 \\ 29 + 2(xy - yz - zx) = 25 \\ xy - yz - zx = - 2 \\ \\ hope \: it \: will \: help \: you \: [/tex]