December 2020
Intermediate to advanced
1064 pages
49h 13m
English
Content preview from Advanced Engineering Mathematics, 7th Edition
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7.5 Lines and Planes in 3-Space
INTRODUCTION
In this section we discuss how to find various equations of lines and planes in 3-space.
Lines: Vector Equation
As in the plane, any two distinct points in 3-space determine only one line between them. To find an equation of the line through P1(x1, y1, z1) and P2(x2, y2, z2), let us assume that P(x, y, z) is any point on the line. In FIGURE 7.5.1, if r = 
, r1 = 
, and r2 = , we see that vector a = r2
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