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Family of Planes Passing through the Intersection of Two Planes

Find the equa...

Question

Find the equation of line passing through the point with position vector $i + j + k$ and perpendicular to the plane $(2^i +^j + 3^k), \to r = 5$ in both vector form and Cartesian form.

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Solution

$\begin{matrix} \frac{x - 1}{2} = \frac{y - 1}{1} = \frac{z - 1}{3} \to r =^i +^j +^k + λ (2^i +^j + 3^k) \end{matrix}$

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