Use the 3-D axes as per the right hand rule 1) Given the point P (4, -5, 7) in the space a) Graph the point. b)Find the projection of the point in all 3 coordinate planes.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Use the 3-D axes as per the right hand rule
1) Given the point P (4, -5, 7) in the space
a) Graph the point.
b)Find the projection of the point in all 3 coordinate planes.
2) Which of the points (-2, 4, -7) and ( 3, -1, 5) Closest to Z-axis? Find the distance of each point from all
coordinate axes
3) Sketch the graph an describe the graph given by the following equations in R, R^2, R^3
a) y = 2x - 3
b) 4x² +9y² = 36
c) x² +z² = 16, y ≥ 0
d) (z − 2)² + (y – 5)² = 9
Transcribed Image Text:Use the 3-D axes as per the right hand rule 1) Given the point P (4, -5, 7) in the space a) Graph the point. b)Find the projection of the point in all 3 coordinate planes. 2) Which of the points (-2, 4, -7) and ( 3, -1, 5) Closest to Z-axis? Find the distance of each point from all coordinate axes 3) Sketch the graph an describe the graph given by the following equations in R, R^2, R^3 a) y = 2x - 3 b) 4x² +9y² = 36 c) x² +z² = 16, y ≥ 0 d) (z − 2)² + (y – 5)² = 9
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