Consider the points A(-4,2,0), B(7, 3, -2) and C(-2, -3, 1). 1. Find a vector of length √6 in the direction of AB - 5AČ. 2. Determine ZBAC, the angle between AB and AČ. 3. Find the symmetric equations of the line passing through A and parallel to BỒ. 4. Find the equation (in point-normal form) of the plane containing the points A, B and C.
Consider the points A(-4,2,0), B(7, 3, -2) and C(-2, -3, 1). 1. Find a vector of length √6 in the direction of AB - 5AČ. 2. Determine ZBAC, the angle between AB and AČ. 3. Find the symmetric equations of the line passing through A and parallel to BỒ. 4. Find the equation (in point-normal form) of the plane containing the points A, B and C.
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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Transcribed Image Text:Consider the points A(-4, 2, 0), B(7, 3, -2) and C(-2, -3, 1).
1. Find a vector of length √6 in the direction of AB - 5AČ.
2. Determine ZBAC, the angle between AB and AČ.
3. Find the symmetric equations of the line passing through A and parallel to BỒ.
4. Find the equation (in point-normal form) of the plane containing the points A, B and C.
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