Question 6 Let a = (1, -1, 1), b = (1,2, 3), c = (1,0, 1). (a) Find the equation of the straight line through the points a and b. (b) Find the equation of the plane through the point a perpendicular to the vector b. (c) Find the angle between the vectors b and e. (d) Find the distance between the point e and the straight line through the points a and b.

Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter7: Triangles
Section7.5: Vectors: An Algebraic Approach Learning
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Question 6
Let a = (1, –1, 1), b = (1,2, 3), c = (1, 0, 1).
(a) Find the equation of the straight line through the points a and b.
(b) Find the equation of the plane through the point a perpendicular to the vector b.
(c) Find the angle between the vectors b and c.
(d) Find the distance between the point e and the straight line through the points a and b.
Transcribed Image Text:Question 6 Let a = (1, –1, 1), b = (1,2, 3), c = (1, 0, 1). (a) Find the equation of the straight line through the points a and b. (b) Find the equation of the plane through the point a perpendicular to the vector b. (c) Find the angle between the vectors b and c. (d) Find the distance between the point e and the straight line through the points a and b.
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