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Suppose vector i =[-3,4,-6) and originates at point A at (1,5,-3) and terminates at point 8 at (3,6,9) a. Find vector and write it in both ordered pair and unit vector notation b. Find a normal to vectors and c. Find a unit vector that is the same magnitude as the normal you obtained in question 2, part b. d. Use the dot product to verify that the normal you obtained in question 2, part b is orthogonal to both vectors and e. Suppose vectors and are both direction vectors in a plane that also contains the point (2,-4,7). Determine: L A vector equation for the plane Parametric equations for the plane A scalar equation for the plane

Suppose vector i =[-3,4,-6) and originates at point A at (1,5,-3) and terminates at point 8 at (3,6,9) a. Find vector and write it in both ordered pair and unit vector notation b. Find a normal to vectors and c. Find a unit vector that is the same magnitude as the normal you obtained in question 2, part b. d. Use the dot product to verify that the normal you obtained in question 2, part b is orthogonal to both vectors and e. Suppose vectors and are both direction vectors in a plane that also contains the point (2,-4,7). Determine: L A vector equation for the plane Parametric equations for the plane A scalar equation for the plane

Calculus: Early Transcendentals
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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Just complete questions d and e. I have already completed question a, b, c

Suppose vector i = [-3,4,-6) and originates at point A at (1,5,-3) and terminates at point B at (3,6,9) a. Find vector and write it in both ordered pair and unit vector notation b. Find a normal to vectors and c. Find a unit vector that is the same magnitude as the normal you obtained in question 2, part b. Use the dot product to verify that the normal you obtained in question 2, part b is orthogonal to both vectors and d. e. Suppose vectors and are both direction vectors in a plane that also contains the point (2,-4,7). Determine: L A vector equation for the plane Parametric equations for the plane A scalar equation for the plane
Transcribed Image Text:Suppose vector i = [-3,4,-6) and originates at point A at (1,5,-3) and terminates at point B at (3,6,9) a. Find vector and write it in both ordered pair and unit vector notation b. Find a normal to vectors and c. Find a unit vector that is the same magnitude as the normal you obtained in question 2, part b. Use the dot product to verify that the normal you obtained in question 2, part b is orthogonal to both vectors and d. e. Suppose vectors and are both direction vectors in a plane that also contains the point (2,-4,7). Determine: L A vector equation for the plane Parametric equations for the plane A scalar equation for the plane
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