If you’re taking an algebra or trigonometry class, it’s likely that your teacher will give you problems involving intersecting lines. One way to solve these problems is by graphing the lines and determining where they intersect, but if you have to graph many intersecting lines, this approach can be tedious. That’s why this handy tool makes it easier to find the plane determined by the intersecting lines calculator. Try it today!
Step 1: Draw your picture
Before you can even begin to use the intersecting lines calculator, you need a picture. This will be your x-y-z coordinate system. So, draw a picture of what you’re working with. Make sure it’s big and clear so you can easily see all the points and lines. The intersecting lines calculator is really easy, but it won’t work if you don’t have the right coordinates on your graph. So, step one is drawing your picture! Once you have drawn out your intersecting lines problem in the correct coordinate system, then we are ready for step two. Step 2: Fill in the table: Take a look at your intersecting lines and fill in each of their coordinates in the table below.
In order to use this tool properly, we need both x-coordinates and y-coordinates. You may want to highlight or color code them for ease of reading. Now that we’ve filled out our table below, let’s take a look at how this intersecting lines calculator works! We’ll go back to our example from before: Draw an x-y grid and label the intersections A, B, C, D and E. If I’m looking for where line AC intersects line AB, I would enter -2,-1 into the first column of my table; while I would enter 1,-2 into the second column of my table (since these are B’s x-coordinate values). When I do this in my intersecting lines calculator, the result comes up as F(0,-1).
In order to find where line CD intersects line AB we would enter 0,-1 into row 3 since this is D’s x-coordinate value; then 0,-2 into row 4 since this is D’s y-coordinate value.
Also Check: Circle Tangent Calculator
Step 2: Select your options
To use the intersecting lines calculator, select your options from the drop-down menus. You can choose whether you want to input two points, two vectors, or a point and a vector. You can also choose whether you want the output in terms of a Cartesian equation or parametric form. Lastly, you can decide if you want the output in 2D or 3D. The inputs are entered into the input boxes at the top of the page. Input any x and y coordinates into either x1 or y1 for Point 1 or X2 and Y2 for Point 2. Alternatively, enter any vector lengths into X1 for Point 1 and Y1 for Point 2 (or vice versa).
Once all values have been inputted correctly, press Calculate! The results will show up below where it says Result – please note that these are just parametric equations so be sure to convert them to Cartesian equations if you need them in this format. As an example, here is what we get when we put in Point 1 as (-10,-20) and Point 2 as (4,-4) with x being the horizontal axis and y being the vertical axis:
Next, let’s try inputting a vector instead of both points. Here’s what happens when we input Vector 1 as (−5,-6) and Vector 2 as (0, 8) with x as the horizontal axis and y as the vertical axis:
Lastly, let’s see what happens when we input a single point. In this case, Point 1 is set to (0,-2) and Point 2 is set to (-5,-5). With these settings, our result looks like this
Step 3: Get your answer!
The answer you’re looking for is the plane’s equation in standard form. To get this, simply plug your values into the calculator. The format will be as follows: Ax + By + Cz = D. If your plane had two dimensions (2D), then it would be Ax + By = D and if it had three dimensions (3D), then it would be Ax + By + Cz = D. In other words, the 2D plane is a line with one dimension, and the 3D plane has 2 dimensions. When using the equation from this blog post, your answer should be a single number such as 0. Congratulations! You now know how to find the plane determined by intersecting lines! As always, make sure to review all steps carefully before continuing.
It is imperative that you understand each step before proceeding with the next one. For example, when given an equation of the form Ax + By + Cz = D, you need to first solve for x, y and z individually before solving for A, B and C. Once again, be sure to look over all steps before moving on. There are many ways to solve for these numbers but the best way is by completing some simple equations algebraically. One example of intersecting lines calculator includes solving equations with like terms which can help you simplify things more quickly than adding fractions or finding their quotient or product.
In addition, it’s important to remember that any value could have been used in place of any variable except zero so take care not to confuse them while calculating! Again, please take time to read through all steps before advancing; there are many techniques and they are not linear! Don’t worry, I’ll teach you what’s needed. From here, it is your job to use the knowledge I’ve just given you to do whatever calculations necessary until you reach your final answer.
That said, don’t forget about the order of operations! Please keep in mind that any part of the sentence may contain a mistake. Be careful and double-check anything questionable so you can avoid making mistakes like these! Remember to use parentheses wherever necessary. After reading through this sentence, do not continue without understanding what it means–this sentence was very informative and provided critical information regarding how different problems are solved–make sure to absorb everything below before going onto something else: Let me start off by saying that sometimes different approaches will yield different answers depending on whether or not they use different assumptions.