(a) Find vector and parametric equations for the line through the point (6, -7, 4) and parallel to the vector v = (1,2, 3). (b) Find vector and parametric equations of the line through the point (1, –1, 1) and parallel to the line * = -1+ 4t, y = 6 – 3t, z = 3+9t. (c) Find parametric equations for the line through the points (1, 1, 1) and (3, –4, 4).

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Vectors In Two And Three Dimensions
Section9.1: Vectors In Two Dimensions
Problem 9E
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(a) Find vector and parametric equations for the line through the point (6, -7, 4) and
parallel to the vector v =
(1,2, 3).
(b) Find vector and parametric equations of the line through the point (1, -1, 1) and
parallel to the line
x = -1+ 4t, y=6- 3t,
z = 3+9t.
(c) Find parametric equations for the line through the points (1, 1, 1) and (3, -4, 4).
Transcribed Image Text:(a) Find vector and parametric equations for the line through the point (6, -7, 4) and parallel to the vector v = (1,2, 3). (b) Find vector and parametric equations of the line through the point (1, -1, 1) and parallel to the line x = -1+ 4t, y=6- 3t, z = 3+9t. (c) Find parametric equations for the line through the points (1, 1, 1) and (3, -4, 4).
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