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Find the distance of point - 2i + 3j - 4k from the line vector r = i + 2j - k + λ(i + 3j - 9k) measured parallel to the plane: x - y + 2z -3 = 0.

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Find the distance of point - 2i + 3j - 4k from the line vector r = i + 2j - k + λ(i + 3j - 9k) measured parallel to the plane: x - y + 2z -3 = 0.

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The general point on the given line

The direction ratios of the line parallel to the plane x - y + 2z - 3 = 0 intersection the given line and passing through the point (-2, -3, 4) are (λ + 3, 3λ -1, -9λ +3).

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