5. Answer the following questions. (b) (c) Find the direction vector of the line given by parametric equations x = -1 + 2t, y = 6 - 3t, z = 3 +9t AND express it in the form of a vector equation (t). Find a vector equation or parametric equations for the line that passes through the point (0, 14,-10) and parallel to the line given by the parametric equations x = -1 + 2t, y = 6 - 3t, z = 3 +9t. Find the equation of the plane passes through point P = (3,0,5) and perpendicular to vector ñ = (-4, 1, 7).

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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5. Answer the following questions.
(a)
(b)
(c)
Find the direction vector of the line given by parametric equations
x = -1 + 2t, y = 6 - 3t, z = 3 +9t AND express it in the form of a vector
equation (t)
Find a vector equation or parametric equations for the line that passes
through the point (0, 14, -10) and parallel to the line given by the parametric
equations x = -1+2t, y = 6 - 3t, z = 3 +9t.
Find the equation of the plane passes through point P = (3,0, 5) and
perpendicular to vector ñ = (-4, 1, 7).
Transcribed Image Text:5. Answer the following questions. (a) (b) (c) Find the direction vector of the line given by parametric equations x = -1 + 2t, y = 6 - 3t, z = 3 +9t AND express it in the form of a vector equation (t) Find a vector equation or parametric equations for the line that passes through the point (0, 14, -10) and parallel to the line given by the parametric equations x = -1+2t, y = 6 - 3t, z = 3 +9t. Find the equation of the plane passes through point P = (3,0, 5) and perpendicular to vector ñ = (-4, 1, 7).
Expert Solution
Step 1: Define the problem

The given  equation of line is x equals negative 1 plus 2 t comma y equals 6 minus 3 t comma z equals 3 plus 9 t

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