Question 2 > Consider the point P(2,-1,-4) and the vectors a =< -2,-1,2> and < -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 6 - 26. (c) Find the point, if any, at which the Line with parametric equations x = -2+t, y = 1-t, intersects the Plane found in part b). z = -3t

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question 2
> Consider the point P(2,-1,-4) and the vectors a =< -2,-1, 2 > and <-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 6ū - 26.
(c) Find the point, if any, at which the Line with parametric equations
x = -2+t,
intersects the Plane found in part b).
y=1-t,
z = -3t
Transcribed Image Text:Question 2 > Consider the point P(2,-1,-4) and the vectors a =< -2,-1, 2 > and <-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 6ū - 26. (c) Find the point, if any, at which the Line with parametric equations x = -2+t, intersects the Plane found in part b). y=1-t, z = -3t
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