Question: Consider the line l in R^ 3 given parametrically by x = x 0 + t a . Let P 0 denote the plane through

Consider the line l in R^³ given parametrically by x = x₀ + ta. Let P₀ denote the plane through the origin with normal vector a (so it is orthogonal to l).

a. Show that l and P₀ intersect in the point x₀ - proj_ax_0.

b. Conclude that the distance from the origin to l is||x₀ - proj_ax₀||.

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