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Consider the points A(2,-1, 3), B(7,0, 5) and C(0, 1, 7), and the line with symmetric equations x=2_ =y+1= 3-z 5 4 Write the vectors AB and AC in terms of its components. Determine ZBAC, i.e., the angle between AB and AC. Find the area of AABC. Give a set of parametric equations of the line m that passes through B and is parallel to l. . Give an equation (in point-normal form) of the plane 7 containing the lines and m.

Consider the points A(2,-1, 3), B(7,0, 5) and C(0, 1, 7), and the line with symmetric equations x=2_ =y+1= 3-z 5 4 Write the vectors AB and AC in terms of its components. Determine ZBAC, i.e., the angle between AB and AC. Find the area of AABC. Give a set of parametric equations of the line m that passes through B and is parallel to l. . Give an equation (in point-normal form) of the plane 7 containing the lines and m.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 45E
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Consider the points A(2, -1,3), B(7,0,5) and C(0, 1, 7), and the line with symmetric equations *--2-9 = y + 1 = 3-z 5 4 Write the vectors AB and AC in terms of its components. Determine ZBAC, i.e., the angle between AB and AČ. Find the area of AABC. Give a set of parametric equations of the line m that passes through B and is parallel to l. Give an equation (in point-normal form) of the plane containing the lines and m.
Transcribed Image Text:Consider the points A(2, -1,3), B(7,0,5) and C(0, 1, 7), and the line with symmetric equations *--2-9 = y + 1 = 3-z 5 4 Write the vectors AB and AC in terms of its components. Determine ZBAC, i.e., the angle between AB and AČ. Find the area of AABC. Give a set of parametric equations of the line m that passes through B and is parallel to l. Give an equation (in point-normal form) of the plane containing the lines and m.
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