Vector or Cross Product
The applet on Page 2 simulates a 3-D view of the vector product
of two vectors and . The value of the
vector product is denoted
= ×
This notation is the reason for the alternate name "cross
product" for this product.
Features of the simulation:
- Any of the four corners of the "table" (surface spanned by the
vectors and ) can be dragged in order to change the orientation
of the table and, thus, the perspective from which the vectors are
viewed.
- The side of the table that has the product vector coming out of it is shown in blue-gray.
The other side is shown in brown-gray.
- Either vector or can be changed by dragging its tip.
- The area of the grey parallelogram spanned by the two vectors
and is equal to the magnitude of the product vector .
- The product vector is shown
dimmed when it points to the side of the table away from the
viewer.