Vector Algebra

ধরি ভেক্টর \(\overrightarrow a = (1 + t)\widehat i + (1 - t)\widehat j + \widehat k,\overrightarrow b = (1 - t)\widehat i + (1 + t)\widehat j + 2\widehat k\) এবং \(\overrightarrow c = t\widehat i - t\widehat j + \widehat k,\,t \in R\) যেখানে \(\alpha ,\beta ,\gamma \in R,\alpha \overrightarrow a + \beta \overrightarrow b + \gamma \overrightarrow c = \overrightarrow 0 \Rightarrow \alpha = \beta = \gamma = 0\) . তবে সকল \(t\) এর মানের সেট হবে ঃ