Consider the points A(2, –1,3), B(7,0,5) and C(0, 1, 7), and the line l with symmetric equation 3 =y +1 = - 2 4 • Write the vectors AB and AČ in terms of its components. • Determine ZBAC, i.e., the angle between AB and AC. Find the area of AABC.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.5: Polar Coordinates
Problem 98E
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Consider the points A(2, –1, 3), B(7,0,5) and C(0, 1, 7), and the line l with symmetric equations
х — 2
3 - z
= y +1 =
4
• Write the vectors AB and AC in terms of its components.
• Determine BAC, i.e., the angle between
AB
AČ.
and
• 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 T containing the lines l and m.
Transcribed Image Text:Consider the points A(2, –1, 3), B(7,0,5) and C(0, 1, 7), and the line l with symmetric equations х — 2 3 - z = y +1 = 4 • Write the vectors AB and AC in terms of its components. • Determine BAC, i.e., the angle between AB AČ. and • 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 T containing the lines l and m.
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