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Problem 5. Consider the plane parallel to the vectors (-3,4,5) and (2,-6, -7), passing through the point (-8,0,1). [Note that you are not being given three points, so don't take differences of pairs.] (a) Find a normal vector n to the plane. (b) Write an equation of the plane. Expand any vector operations appearing.

Problem 5. Consider the plane parallel to the vectors (-3,4,5) and (2,-6, -7), passing through the point (-8,0,1). [Note that you are not being given three points, so don't take differences of pairs.] (a) Find a normal vector n to the plane. (b) Write an equation of the plane. Expand any vector operations appearing.

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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Problem 5. Consider the plane parallel to the vectors (-3,4,5) and (2,-6, -7), passing through the point (-8,0,1). [Note that you are not being given three points, so don't take differences of pairs.] (a) Find a normal vector n to the plane. (b) Write an equation of the plane. Expand any vector operations appearing. (c) Find the area of the parallelogram whose sides are determined by the two given vectors.
Transcribed Image Text:Problem 5. Consider the plane parallel to the vectors (-3,4,5) and (2,-6, -7), passing through the point (-8,0,1). [Note that you are not being given three points, so don't take differences of pairs.] (a) Find a normal vector n to the plane. (b) Write an equation of the plane. Expand any vector operations appearing. (c) Find the area of the parallelogram whose sides are determined by the two given vectors.
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