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What is the determinant formula for calculating the cross product of two vectors relative to the Cartesian i, j, k-coordinate system? Use it in an example. How do you find equations for lines, line segments, and planes in space? Give examples. Can you express a line in space by a single equation? A plane? How do you find the distance from a point to a line in space? From a point to a plane? Give examples. What are box products? What significance do they have? How are they evaluated? Give an example. How do you find equations for spheres in space? Give examples. How do you find the intersection of two lines in space? A line and a plane? Two planes? Give examples.

What is the determinant formula for calculating the cross product of two vectors relative to the Cartesian i, j, k-coordinate system? Use it in an example. How do you find equations for lines, line segments, and planes in space? Give examples. Can you express a line in space by a single equation? A plane? How do you find the distance from a point to a line in space? From a point to a plane? Give examples. What are box products? What significance do they have? How are they evaluated? Give an example. How do you find equations for spheres in space? Give examples. How do you find the intersection of two lines in space? A line and a plane? Two planes? Give examples.

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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What is the determinant formula for calculating the cross product of two vectors relative to the Cartesian i, j, k-coordinate system? Use it in an example. How do you find equations for lines, line segments, and planes in space? Give examples. Can you express a line in space by a single equation? A plane? How do you find the distance from a point to a line in space? From a point to a plane? Give examples. What are box products? What significance do they have? How are they evaluated? Give an example. How do you find equations for spheres in space? Give examples. How do you find the intersection of two lines in space? A line and a plane? Two planes? Give examples.
Transcribed Image Text:What is the determinant formula for calculating the cross product of two vectors relative to the Cartesian i, j, k-coordinate system? Use it in an example. How do you find equations for lines, line segments, and planes in space? Give examples. Can you express a line in space by a single equation? A plane? How do you find the distance from a point to a line in space? From a point to a plane? Give examples. What are box products? What significance do they have? How are they evaluated? Give an example. How do you find equations for spheres in space? Give examples. How do you find the intersection of two lines in space? A line and a plane? Two planes? Give examples.
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