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3. Consider the points K (-1,0,7) and M(1, -2,5), the vector MN = (1,4, -3) and the li symmetric equations 16 - x = y - 18 = z + 11 a. Determine the coordinates of point N b. Write the vector KMin terms of its components Find the equation (in center-radius form) of the sphere having KM as a diameter

3. Consider the points K (-1,0,7) and M(1, -2,5), the vector MN = (1,4, -3) and the li symmetric equations 16 - x = y - 18 = z + 11 a. Determine the coordinates of point N b. Write the vector KMin terms of its components Find the equation (in center-radius form) of the sphere having KM as a diameter

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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