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1. Two planes P and P, are defined by the equations x+y+z=1 and 2x-y+z=0, respectively. The planes intersect along a line L. Write down two vectors which are normal to P, and P, respectively. (a) (b) (c) (d) Hence find a vector running in the direction of the line L. Find the point lying in both planes P, and P, which has z = 0. Hence obtain the equation of the line L.

1. Two planes P and P, are defined by the equations x+y+z=1 and 2x-y+z=0, respectively. The planes intersect along a line L. Write down two vectors which are normal to P, and P, respectively. (a) (b) (c) (d) Hence find a vector running in the direction of the line L. Find the point lying in both planes P, and P, which has z = 0. Hence obtain the equation of the line L.

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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1. Two planes P and P, are defined by the equations x+y+z=1 and 2x-y+z=0, respectively. The planes intersect along a line L. Write down two vectors which are normal to P, and P, respectively. (a) (b) (c) (d) Hence find a vector running in the direction of the line L. Find the point lying in both planes P, and P, which has z = 0. Hence obtain the equation of the line L.
Transcribed Image Text:1. Two planes P and P, are defined by the equations x+y+z=1 and 2x-y+z=0, respectively. The planes intersect along a line L. Write down two vectors which are normal to P, and P, respectively. (a) (b) (c) (d) Hence find a vector running in the direction of the line L. Find the point lying in both planes P, and P, which has z = 0. Hence obtain the equation of the line L.
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