Consider the planes 5x+2y+4z=15x+2y+4z=1 and 5x+4z=0 (A) Find the unique point P on the y-axis which is on both planes ( .... ,...., ....) (B) Find a unit vector uu with positive first coordinate that is parallel to both planes. .... i + .... j + .... k (C) Use parts (A) and (B) to find a vector equation for the line of intersection of the two planes r(t)= .... i + .... j + .... k
Consider the planes 5x+2y+4z=15x+2y+4z=1 and 5x+4z=0 (A) Find the unique point P on the y-axis which is on both planes ( .... ,...., ....) (B) Find a unit vector uu with positive first coordinate that is parallel to both planes. .... i + .... j + .... k (C) Use parts (A) and (B) to find a vector equation for the line of intersection of the two planes r(t)= .... i + .... j + .... k
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 21E
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Consider the planes 5x+2y+4z=15x+2y+4z=1 and 5x+4z=0
(A) Find the unique point P on the y-axis which is on both planes ( .... ,...., ....)
(B) Find a unit
(C) Use parts (A) and (B) to find a vector equation for the line of intersection of the two planes
r(t)= .... i + .... j + .... k
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