Via Geometric (Clifford) Algebra: Equation for Line of Intersection of Two PlanesJames A. Smith
Find the distance from the origin to the line of intersection of the two planes: {eq}2x - 3y + z = 5, \; 3x - y - 2z = 11 {/eq}. DIstance To Origin: The equation of the intersection line between two planes is found solving linear systems pr...
上面个位理解错了个Hint啦 因为由(x-13)/3 = (y-6)/2 = (z-0)/1﹐都可以直接看出a=(13 6 0)和v=(3 2 1) 个Hint只不过是说要设法由条件L is the line of intersection beeen the planes x-y-z = 7 and x-2y+z=1.中设法找出a和v罢了。[相反来说﹐若果你已经找到条...
Find the vector equation of the line intersection of the following two planes: 4 x + 3 y - 2 z + 7 = 0 and x - 2 y + 5 z - 1 = 0. Find the vector equation for the line of intersection of the planes 3x - 3y ...
You can get the line of intersection inDual Plucker Matrixform as follows: A=null([[P11;P21;P31],ones(3,1)]);%plane 1 B=null([[P12;P22;P32],ones(3,1)]);%plane 2 L=A*B.' - B*A.';%line of intersection However, for this to work we...
3.3 The line of intersection of two planes Example Find a vector tangent to the line of intersection of the planes Solution: We need to find a vector perpendicular to both normal vectors n=[2,1,-3] and N=[-1,2-1] . We choose v=N\times n . That is, 3.4 Parallel planes and ang...
The intersection of two planes is a line. ♦ The part of a line that lies between two points on the line is called a line segment. The American Heritage® Student Science Dictionary, Second Edition. Copyright © 2014 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton ...
The intersection of two planes is a line. ♦ The part of a line that lies between two points on the line is called a line segment. The American Heritage® Student Science Dictionary, Second Edition. Copyright © 2014 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton ...
If the line is the intersection of two planes, then the equation of line can be found as the solution of the following system of equations A1x + B1y + C1z + D1 = 0 A2x + B2y + C2z + D2 = 0 on condition that there has not been equality A1 = B1 = C1 . A2 B2 C2Analyti...
To find a point on the line of intersection, set one of the variables equal to a constant, say z=0. (This will fail if the line of intersection does not cross the xy-plane; in that case, try setting x or y equal to 0.) The equations of the two planes reduce to x+y=1 and...