2. Given the points A(2,2,1) and B(9,3,6) and the plane K: 2x+6y+6z-9=0 Define: a. do points A and B lie in the same half space with respect to the K plane? b. the measure of the angle between the line AB and the plane K c. the distance from point A to a plane parallel to plane K and through point B

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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2. Given the points A(2,2,1) and B(9,3,6) and the plane K: 2x+6y+6z-9=0
Define:
a. do points A and B lie in the same half space with respect to the K plane?
b. the measure of the angle between the line AB and the plane K
c. the distance from point A to a plane parallel to plane K and through point B
Transcribed Image Text:2. Given the points A(2,2,1) and B(9,3,6) and the plane K: 2x+6y+6z-9=0 Define: a. do points A and B lie in the same half space with respect to the K plane? b. the measure of the angle between the line AB and the plane K c. the distance from point A to a plane parallel to plane K and through point B
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