GeoGebra
There are two ways to find out if two vectors are parallel in GeoGebra. One is simply to solve the vector equation in CAS. The other is to draw two lines and use a GeoGebra command to check if they are parallel.
GeoGebra Instruction 1
Method 1
- 1.
- Open
Algebra ViewandGraphics ViewunderViewinMenu. - 2.
- Enter your two vectors in
Algebra View. - 3.
- Enter
<first vector> = k * <second vector>
in
CAS. Be sure to fill in your vectors with the names they are given inAlgebra View. ClickSolve.
- 4.
- If you get a solution for , the vectors are parallel. If you get , the vectors are not parallel.
GeoGebra Instruction 2
Method 2
- 1.
- Open
Algebra ViewandGraphics ViewinViewmenu. - 2.
- Define your two vectors in
Algebra View. - 3.
- Enter
Line(<point>, <direction vector>)
in
Input Bar. Fill in(0,0)for<point>and one of the vectors for<direction vector>. PressEnter. The line should now be shownAlgebra ViewandGraphics View. - 4.
- Repeat the above method for your other vector as well.
- 5.
- Enter
AreParallel(<line>, <line>)
in
Algebra View. Input your two lines into the fields and pressEnter. Iftrueis displayed inAlgebra View, the vectors are parallel. Iffalseis displayed inAlgebra View, the vectors are not parallel.