Consider point P and vector v. Let L be the line passing through point P with direction v. P(4, 5, 3), v = QR, where Q(3, 2, 3) and R(5, 2, 3) (a) Find parametric equations of line L. (Enter your answers as a comma-separated list of equations. Use t as the independent variable.) X Your answer cannot be understood or graded. More Information (b) Find symmetric equations of line L. x = 0, y = 5, z = 3 O x = 4 + t, z = 3 Oy = 3, z = 5 x = 0, y = 3, z = O y = 5, z = 3 (c) Find the intersection of the line with the xy-plane. (If an answer does not exist, enter DNE.) (х, у, 2) %3D
Consider point P and vector v. Let L be the line passing through point P with direction v. P(4, 5, 3), v = QR, where Q(3, 2, 3) and R(5, 2, 3) (a) Find parametric equations of line L. (Enter your answers as a comma-separated list of equations. Use t as the independent variable.) X Your answer cannot be understood or graded. More Information (b) Find symmetric equations of line L. x = 0, y = 5, z = 3 O x = 4 + t, z = 3 Oy = 3, z = 5 x = 0, y = 3, z = O y = 5, z = 3 (c) Find the intersection of the line with the xy-plane. (If an answer does not exist, enter DNE.) (х, у, 2) %3D
Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter10: Analytic Geometry
Section10.CT: Test
Problem 22CT
Related questions
Question
Consider point P and vector v. Let L be the line passing through point P with direction v.
P(4, 5, 3), v = QR, where Q(3, 2, 3) and R(5, 2, 3)
(a)
Find parametric equations of line L. (Enter your answers as a comma-separated list of equations. Use t as the independent variable.)
(b)
Find symmetric equations of line L.
x = 0, y = 5, z = 3
x = 4 + t, z = 3
y = 3, z = 5
x = 0, y = 3, z = 5
y = 5, z = 3
(c)
Find the intersection of the line with the xy-plane. (If an answer does not exist, enter DNE.)
(x, y, z) =
Transcribed Image Text:Consider point P and vector v. Let L be the line passing through point P with direction v.
P(4, 5, 3), v = QR, where Q(3, 2, 3) and R(5, 2, 3)
(a)
Find parametric equations of line L. (Enter your answers as a comma-separated list of equations. Use t as the independent variable.)
X Your answer cannot be understood or graded. More Information
(b)
Find symmetric equations of line L.
= 0, y = 5, z =
3
X =
x = 4 + t, z = 3
y = 3, z = 5
х %3D 0, у %3D 3, z %3
5
y = 5, z = 3
(c) Find the intersection of the line with the xy-plane. (If an answer does not exist, enter DNE.)
(х, у, z) %3
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