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