Consider the points A(2, -1, 3), B(7,0, 5) and C(0, 1, 7), and the line with symmetric equations 2=2=y+1=352 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.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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4 and 5, please.

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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