Consider the point P(-2, 1, 4) and the vectors Question 2 a =< 2,-1,2> and b =< 3, -2,-2 >. (a) Find the unit vector u that has the opposite direction of a. (b) Find the Plane that passes through the point P and is orthogonal to the vector 6u - 2b. (c) Find the point, if any, at which the Line with parametric equations x = -1-t, y = 2 + t, intersects the Plane found in part b). z = -3t
Consider the point P(-2, 1, 4) and the vectors Question 2 a =< 2,-1,2> and b =< 3, -2,-2 >. (a) Find the unit vector u that has the opposite direction of a. (b) Find the Plane that passes through the point P and is orthogonal to the vector 6u - 2b. (c) Find the point, if any, at which the Line with parametric equations x = -1-t, y = 2 + t, intersects the Plane found in part b). z = -3t
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 16E
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![Consider the point P(-2, 1, 4) and the vectors
Question 2
a =< 2,-1,2> and b =< 3, -2,-2 >.
(a) Find the unit vector u that has the opposite direction of a.
(b) Find the Plane that passes through the point P and is orthogonal to the
vector 6u - 2b.
(c) Find the point, if any, at which the Line with parametric equations
x = -1-t, y = 2+t, z = -3t
intersects the Plane found in part b).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fda16767a-8527-4e1b-b315-c65f29cd2de9%2Fdaead052-7f14-4fa2-b231-e6b72b76cae6%2F1puhvxt_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the point P(-2, 1, 4) and the vectors
Question 2
a =< 2,-1,2> and b =< 3, -2,-2 >.
(a) Find the unit vector u that has the opposite direction of a.
(b) Find the Plane that passes through the point P and is orthogonal to the
vector 6u - 2b.
(c) Find the point, if any, at which the Line with parametric equations
x = -1-t, y = 2+t, z = -3t
intersects the Plane found in part b).
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