See the points D(4,-2,5), E(-1,3,5), and J(4 + 2√3, −2 − 2√3, 5+ 2√2), and the line / with symmetric equations: x-4=(y + 2)/4=(5-z)/3 A. Write the vectors DE and DJ in terms of their components. B. Find out ZEDJ, which is, the angle between DE and DJ. C. Look for the area of ADEJ. D. Provide a set of parametric equations of the line m that passes through E and is parallel to /. E. Provide an equation (in point-normal form) of the plane containing the lines / and m, with mas described in (A).

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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Provide a coherent answer for items C and D.

See the points D(4,-2,5), E(-1,3,5), and J(4 + 2√3, −2 − 2√3, 5+ 2√2), and the line / with symmetric
equations:
x-4=(y + 2)/4=(5-z)/3
A. Write the vectors DE and DJ in terms of their components.
B. Find out ZEDJ, which is, the angle between DE and DJ.
C. Look for the area of ADEJ.
D. Provide a set of parametric equations of the line m that passes through E and is parallel to /.
E. Provide an equation (in point-normal form) of the plane containing the lines / and m, with mas
described in (A).
Transcribed Image Text:See the points D(4,-2,5), E(-1,3,5), and J(4 + 2√3, −2 − 2√3, 5+ 2√2), and the line / with symmetric equations: x-4=(y + 2)/4=(5-z)/3 A. Write the vectors DE and DJ in terms of their components. B. Find out ZEDJ, which is, the angle between DE and DJ. C. Look for the area of ADEJ. D. Provide a set of parametric equations of the line m that passes through E and is parallel to /. E. Provide an equation (in point-normal form) of the plane containing the lines / and m, with mas described in (A).
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