Concept explainers
Formulas (1), (2), (3), (5), and (10), which apply to planes in 3-space, have analogs for lines in 2-space.
(a) Draw an analog of Figure 11.6.3 in 2-space to illustrate that the equation of the line that passes through the point
(b) Show that the vector equation in part (a) can be expressed as
This is called the point-normal form of a line.
(c) using the prof of Theorem 11.6.1 as a guide, show that is a and b are not both zero, then the graph of the equation
(d) Using the proof of Theorem 11.6.2 as a guide, show that the distance D between a point
(e) Use the formula in part (d) to find the distance between the point
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Calculus: Early Transcendentals, Enhanced Etext
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