Cross Product: Difference between revisions

Cross Product (view source)

28 bytes removed , 17 May 2024

Updated and revisited the page

333

edits

@@ Line 1: / Line 1: @@
-The Cross Product calculates the cross product of the two input vectors, and outputs another vector.
+{{Block
+|image=Cross Product.png
-[[width=336px,alt=Cross Product|/uploads/Cross Product1.png]]
+|type=s
+|folder=math
+|input1={{Port|v}}
+|input2={{Port|v}}
+|output1={{Port|v|Cross Product}}
+}}
+Calculates the [https://en.wikipedia.org/wiki/Cross_product cross product] of the two input vectors.
 == Details ==
 The Cross Product is a way of multiplying two vectors together.
 We can calculate the Cross Product of two vectors this way, let's say that the cross product of A and B is vector C:
-Cx = Ay × Bx - Az × By\
+<code>
-Cy = Az × Bx - Ax × Bz\
+Cx = Ay × Bx - Az × By
+Cy = Az × Bx - Ax × Bz
 Cz = Ax × By - Ay × Bx
+</code>
-It outputs the vector that is perpendicular to both input vectors (or the plane spanned by those two vectors).
+It outputs the vector that is perpendicular to both input vectors (or the plane spanned by those vectors).
-[[File:crossprod.png]]
+[[File:Crossprod.png|frame|right]]
-The length of that vector is equal to the area of the parallelogram formed by those two input vectors (each vector gives a pair of parallel sides). Not that common for this knowledge to be used, you would often use the vector for its direction and not its length.
+The length of the output vector is equal to the area of the parallelogram formed by the input vectors (each vector gives a pair of parallel sides).
 [[Category:Blocks]]