JEE PYQ: Vector 3D Question 22
Question 22 - 2021 (25 Feb Shift 2)
A line $’\ell’$ passing through origin is perpendicular to the lines $\ell_1: \vec{r} = (3 + t)\hat{i} + (-1 + 2t)\hat{j} + (4 + 2t)\hat{k}$, $\ell_2: \vec{r} = (3 + 2s)\hat{i} + (3 + 2s)\hat{j} + (2 + s)\hat{k}$. If the co-ordinates of the point in the first octant on $’\ell_2’$ at the distance of $\sqrt{17}$ from the point of intersection of $’\ell’$ and $’\ell_1’$ are $(a, b, c)$, then $18(a + b + c)$ is equal to ______.
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