Verify that 2j+k is perpendicular to the plane I7, Find a vector perpendicular to the plane II, Find the acute angle between the planes II, and II,

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

The points A , B and C have the following position vectors with respect to an origin O

OA= 2i + j -2k
OB= 2i - j + 2k
OC= i + 3j + 3k

Verify that 23 + k is perpendicular to the plane I7,
Find a vector perpendicular to the plane II,
Find the acute angle between the planes II, and II,
Transcribed Image Text:Verify that 23 + k is perpendicular to the plane I7, Find a vector perpendicular to the plane II, Find the acute angle between the planes II, and II,
The plane II, contains the points 0, A and B and the plane II, contains the points O, A and C.
2
Transcribed Image Text:The plane II, contains the points 0, A and B and the plane II, contains the points O, A and C. 2
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