d. Find an equation (in point-normal form) of the plane containing the points K, M and N Let R be the parallelogram having line segments KM and MNas adjacent sides Determine if the vector KM and the line are parallel f.

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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answer part D to F only

3. Consider the points K (-1, 0, 7) and M(1, -2, 5), the vector MN = (1,4, −3) and the line with
symmetric equations 16 - x = y − 18 = z + 11
a. Determine the coordinates of point N
b. Write the vector KMin terms of its components
c.
Find the equation (in center-radius form) of the sphere having KM as a diameter
d. Find an equation (in point-normal form) of the plane containing the points K, M and N
e.
Let R be the parallelogram having line segments KM and MNas adjacent sides
f. Determine if the vector KM and the line l are parallel
Transcribed Image Text:3. Consider the points K (-1, 0, 7) and M(1, -2, 5), the vector MN = (1,4, −3) and the line with symmetric equations 16 - x = y − 18 = z + 11 a. Determine the coordinates of point N b. Write the vector KMin terms of its components c. Find the equation (in center-radius form) of the sphere having KM as a diameter d. Find an equation (in point-normal form) of the plane containing the points K, M and N e. Let R be the parallelogram having line segments KM and MNas adjacent sides f. Determine if the vector KM and the line l are parallel
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