If (\alpha, \beta, \gamma) is a triad of real numbers satisfying \overline{i}-2 \overline{j}+5 \overline{k}=\alpha(\overline{i}+\overline{j}+\overline{k})+\beta(\overline{i}+2 \overline{j}+3 \overline{k})+\gamma(2 \overline{i}-\overline{j}+\overline{k}), then \alpha^{2}-\beta^{2}+\gamma^{2}=

TS EAMCET 19-July-2022 Shift 1 Solved Paper

Section: Mathematics

Question : 30 of 160

Marks: +1, -0

If (α,β,γ) is a triad of real numbers satisfying
i−2j+5k=α(i+j+k)+β(i+2j+3k)+γ(2i−j+k), then α2−β2+γ2=

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