4. Suppose that L is a line in the plane, P is any point on L, and Q is any point in the XY-plane. The distance d from Q

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4 Suppose That L Is A Line In The Plane P Is Any Point On L And Q Is Any Point In The Xy Plane The Distance D From Q 1 (71.17 KiB) Viewed 21 times

4. Suppose that L is a line in the plane, P is any point on L, and Q is any point in the XY-plane. The distance d from Q to L can be defined as \PO.nl d= = ||proj,PQ|| = |comp,POI = = = n ||n|| where the vector is any vector orthogonal to L. L R Use this definition to find the distance from the point Q(-2, 3) to the line L: 3x – 4y + 5 = 0. Hint: First pick two nonequal points P and R that lie on L. The direction of L can be given by the vector PŘ. Then cook up a vector n that is orthogonal to PŘ using the dot product.