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Let $L$ be the line given by the parametric equations $x = 1 + 2t, y = −1 − t, z = 3t$

Find the intersection points of the line $L$ with the three coordinate planes $O_{xy}, O_{yz}, O_{zx}$

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Hint: For example, for the $x$-$z$ plane, you want $y=0$, so $-1-t=0$, meaning that $t=-1$. Substitute. We get $(-1,0,-3)$.