Dot product

• How Are the Dot Product and Divergence Related?
  The divergence of a vector field is written as nabla dot F: take each component's matching partial derivative and add the results.
• How to Find the Angle Between Two Parametric Vectors
  Find the angle between parametric vectors by evaluating them at the intended parameters, then applying the dot-product formula and inverse cosine.
• How to Prove the Dot Product Is Distributive
  The dot product distributes over vector addition because its coordinate formula is a sum of products; follow a componentwise proof and worked example.