End of the Chapter

You may find it useful to distribute your study time over the following topics:

• inner product Various names by which the dot product is known.
• dot product, definition Definition of the dot product for geometrical vectors.
• dot product, commutative Commutative property of the vector dot product.
• cosine, and unit circle Cosine of an angle.
• dot product, of orthogonal vectors Dot product of orthogonal vectors.
• dot product, and vector length Dot product and vector length.
• dot product, properties Properties of the vector dot product (list)
• dot product of column matrices Dot product of 2D column matrices.
• dot product, column matrix, commutative Commutative property of column matrix dot product.
• dot product, 3D column matrices Dot product of 3D column matrices.
• dot product, column matrix with self Dot product of a column matrix with itself.
• dot product, column matrices, distributive Distributive property of column matrix dot product.

Click on a term to see where it was discussed in this chapter. The next chapter will discuss how the dot product relates to the length of a vector.