L : (x – 2) / 2 = (y + 1) / 3 = (3 – z) / 2Įxample 3: If a straight line is passing through the two fixed points in the 3-dimensional whose position coordinates are X (2, 3, 4) and Y (5, 3, 10) then its cartesian equation using the two-point form is given by L : (x – 2) / 2 = (y – 3) / 3 = (z – 5) / 7Įxample 2: If a straight line is passing through the two fixed points in the 3-dimensional whose position coordinates are A (2, -1, 3) and B (4, 2, 1) then its cartesian equation using the two-point form is given by Where (x, y, z) are the position coordinates of any variable point lying on the straight line.Įxample 1: If a straight line is passing through the two fixed points in the 3-dimensional whose position coordinates are P (2, 3, 5) and Q (4, 6, 12) then its cartesian equation using the two-point form is given by Step 3: Write the required equation of the straight line passing through the points (x 1, y 1, z 1) and (x 2, y 2, z 2).Step 2: Choose either of the two given points say, we choose (x 1, y 1, z 1).Step 1: Find the DR’s (Direction Ratios) by taking the difference of the corresponding position coordinates of the two given points.Now to obtain the equation we have to follow these three steps: Let’s say (x 1, y 1, z 1) and (x 2, y 2, z 2) are the position coordinates of the two fixed points in the 3-dimensional space through which the line passes. Properties of Matrix Addition and Scalar Multiplication | Class 12 MathsĮquation of a Straight Line in Cartesian Formįor writing the equation of a straight line in the cartesian form we require the coordinates of a minimum of two points through which the straight line passes.Torque on an Electric Dipole in Uniform Electric Field.p-n Junction Diode- Definition, Formation, Characteristics, Applications.Class 12 NCERT Solutions - Mathematics Part I - Chapter 2 Inverse Trigonometric Functions - Exercise 2.1.Shortest Distance Between Two Lines in 3D Space | Class 12 Maths.Graphical Solution of Linear Programming Problems.Difference between write() and writelines() function in Python.Data Communication - Definition, Components, Types, Channels.
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