Ax + By + Cz + D is NOT an equation. The equation you're thinking of is Ax + By + Cz + D = 0.shawns said:Homework Statement
determine the cartesian equation of the plane that contains the following lines:
L1: r= (4,4,5) + t(5,-4,6)
L2: r= (4,4,5) + s(2,-3,-4)
Homework Equations
I kno I'm supposed to use the equation Ax + By + Cz + D. but i don't know how to use it with this type of problem
shawns said:The Attempt at a Solution
Don't understand it at all :S
The purpose of determining cartesian equations is to represent a mathematical relationship between two or more variables in a two-dimensional coordinate system. It allows for the visualization and manipulation of mathematical concepts and can help solve problems in various fields such as physics, engineering, and economics.
To determine the cartesian equation of a line, you need to know the slope and the y-intercept of the line. The equation is in the form y = mx + b, where m is the slope and b is the y-intercept. If the slope is known, you can use the point-slope form of the equation, y - y1 = m(x - x1), where (x1,y1) is a point on the line. If two points are given, you can use the slope formula, (y2 - y1)/(x2 - x1), to find the slope and then use one of the above methods.
The steps for determining the cartesian equation of a parabola are as follows:
Yes, the cartesian equation of a circle is (x - h)^2 + (y - k)^2 = r^2, where (h,k) is the center of the circle and r is the radius. This equation can be derived using the distance formula and the definition of a circle.
A cartesian equation represents a relationship between two variables in terms of x and y coordinates on a graph. A parametric equation, on the other hand, represents the same relationship in terms of an independent variable, usually denoted by t, and two or more dependent variables, x and y. While a cartesian equation can be graphed on a two-dimensional coordinate plane, a parametric equation requires three dimensions to be graphed.