Compute the cosine of the angle between the plane through P – (6,0,0). Q = (0, 5,0), and R = (0,0,9) and the yz-plane, defined as the angle between their normal vectors. (Use symbolic notation and fractions where needed.) cos(0) =
Compute the cosine of the angle between the plane through P – (6,0,0). Q = (0, 5,0), and R = (0,0,9) and the yz-plane, defined as the angle between their normal vectors. (Use symbolic notation and fractions where needed.) cos(0) =
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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Step 1
(a). Given points are and .
We know that equation of plane through and is
Therefore equation of plane through and will be
Hence normal vector to the above plane is .
The equation of plane is . Therefore the normal vector to the plane is .
Therefore cosine of the angle between above two plane is given by:
Therefore
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