Let II, be the plane with Cartesian equation z=0. Let II, be the plane with Cartesian equation x=0. Let II; be the plane with Cartesian equation y=0. Let IL, be the plane with Cartesian equation 7x + 6y + 3z = 11. Let P = (p1, P2, P3) be a point on the plane II, such that pi > 0, p2 > 0, P3 > 0 and P has equal distance from II,, II2 and Il3. Write down the value of pi.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.2: Determinants
Problem 13AEXP
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Let II, be the plane with Cartesian equation z=0. Let II, be the plane with Cartesian equation x=0. Let II; be the plane with Cartesian
equation y=0. Let II, be the plane with Cartesian equation 7x + 6y + 3z = 11.
Let P = (P1, P2, P3) be a point on the plane II, such that pi > 0, p2 > 0, p3 > 0 and P has equal distance from I, , II, and I13 . Write down
the value of p.
[So, for example, if you find that P has coordinates (2.5, 3.2, 8.7) then you should enter 2.5 as your answer. Please enter your answer
numerically in decimal format. You will be marked correct as long as what you enter is within 0.25 of the correct answer.]
Answer:
Transcribed Image Text:Let II, be the plane with Cartesian equation z=0. Let II, be the plane with Cartesian equation x=0. Let II; be the plane with Cartesian equation y=0. Let II, be the plane with Cartesian equation 7x + 6y + 3z = 11. Let P = (P1, P2, P3) be a point on the plane II, such that pi > 0, p2 > 0, p3 > 0 and P has equal distance from I, , II, and I13 . Write down the value of p. [So, for example, if you find that P has coordinates (2.5, 3.2, 8.7) then you should enter 2.5 as your answer. Please enter your answer numerically in decimal format. You will be marked correct as long as what you enter is within 0.25 of the correct answer.] Answer:
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