Let IIj be the plane with Cartesian equation z=0. Let II2 be the plane with Cartesian equation x=0. Let II3 be the plane with Cartesian equation y=0. Let II4 be the plane with Cartesian equation 4x + 3y + 6z = 12. Let P = (p1, P2, P3) be a point on the plane II4 such that Pi > 0, p2 > 0, p3 > 0 and P has equal distance from II1 , II2 and II3 . Write down the value of p1.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Let II¡ be the plane with Cartesian equation z=0. Let II2
be the plane with Cartesian equation x=0. Let II3 be the
plane with Cartesian equation y=0. Let II4 be the plane
with Cartesian equation 4x + 3y + 6z = 12.
Let P = (p1, P2, P3) be a point on the plane II4 such that
Pi > 0, p2 > 0, p3 > 0 and P has equal distance from
II1 , II2 and II3 . Write down the value of p1.
Transcribed Image Text:Let II¡ be the plane with Cartesian equation z=0. Let II2 be the plane with Cartesian equation x=0. Let II3 be the plane with Cartesian equation y=0. Let II4 be the plane with Cartesian equation 4x + 3y + 6z = 12. Let P = (p1, P2, P3) be a point on the plane II4 such that Pi > 0, p2 > 0, p3 > 0 and P has equal distance from II1 , II2 and II3 . Write down the value of p1.
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