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Elementary Geometry For College Students, 7e

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Question

Find a direction vector for the line containing the origin
(0, 0, 0) and the point (2, 3, – 1).

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2. Let A = (1, – 1, 2) and B = (4, –2, 3). Solve for projĄB. 3. , Give the parametric and symmetric equations of the line that passes through the point (4, –3, 5) and is perpendicular to both vectors (2,6, 1) and (1, 3, –5).
Find the equation of the plane that contains the points P(-1,2, 1), Q(0, -3, 2), and R(0, 1,-4)
Find the distance from the point P(-1, 3,-5) to the plane through the three points Q(3,1,-3), R(4,6, 5), and S(5, 4, 6).
Find an equation for the plane containing the two (parallel) lines v (0, 1, -4) + t(1, 3, -5) and v, = (4, –1, 0) + t(1, 3, –5). %3D
Find the vector equation of the line passing through the point (1, 2, - 4) and x-15 and 7 X-8 y+19 z-10 y-29 z-5 -16 3 8 -5 perpendicular to the two lines:
Suppose the positive x-, y-, and z-axes point east, north, and upward, respectively. Describe the location of the points (-1, -1, 0), (1, 0, 1), and (-1, -1, -1) relative to the origin.
A line contains the points P=(−6,−2,−3)P=(-6,-2,-3) and Q=(−4,−3,−6)Q=(-4,-3,-6). A vector equation of this line is →x=−−→OP+t−−→PQx→=OP→+tPQ→, where OO is the origin.If t=2t=2, what point does this give us from the equation?

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