Some Vector Things

Drag the vector around by either dragging points A or B or by clicking on the vector and dragging it that way. Why are the coordinates what they are?
Drag points A, B, C, and D to change vectors u and v. Vector w is the sum of vectors u and v. How does this sum work?
Drag points A, B, C, and D to change the orientation and length of the two vectors. The dot product of the two vectors is shown.
  • When is the dot product as large as possible?
  • When is the dot product as small as possible?
  • When is the dot product zero?
What other questions would be cool to answer?