(a) For the line l in R2 given by the equation ax + by = d, find a vector v that is parallel to l. (b) Find a vector n that is normal to l and has first component equal to a. (c) If P0(x0, y0) is any point in R2 , use vectors to derive the following formula for the distance from P0 to l: To do this, you’ll find it helpful to use Figure 1.115, where P1(x1, y1) is any point on l. (d) Find the distance between the point (3, 5) and the line 8x − 5y = 2.

(a) For the line l in R2 given by the equation ax + by = d, find a vector v that is parallel to l. (b) Find a vector n that is normal to l and has first component equal to a. (c) If P0(x0, y0) is any point in R2 , use vectors to derive the following formula for the distance from P0 to l: To do this, you’ll find it helpful to use Figure 1.115, where P1(x1, y1) is any point on l. (d) Find the distance between the point (3, 5) and the line 8x − 5y = 2.

3/89^-2

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