Via Geometric (Clifford) Algebra: Equation for Line of Intersection of Two PlanesJames A. Smith
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...
Maximize {eq}\displaystyle{ \rm w = xyx } {/eq} on the line of intersection of two planes {eq}\displaystyle{ \rm x + y + z = 40\ and\ x + y -z = 0. } {/eq} Direct Optimization Method: Among the methods of optimization of functions of severa...
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 ...
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...
Find the symmetric equations of the line of intersection of the two planes. P_1: z= 2x - y - 5, P_2: z= 4x + 3y -5. Find the symmetric equations for the line of intersection of the planes: z = 2x - y - 5 z = 4x + 3y - 5 ...
Intersecting Planes:The line of intersection of two given planes is the set of all points in space which satisfy the equations of both planes. To find its equation, we solve these equations in terms of one of the variables.Answer and Explanation: The line...
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...
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...
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 ...