A good answer might be:

Here it is probably easiest to do the dot product first:

( -2, 0, 2)^T · ( (1, -1, 1)^T + ( 3, 1, 4)^T )

= ( -2, 0, 2)^T · (1, -1, 1)^T + ( -2, 0, 2)^T · ( 3, 1, 4)^T = 0 + 2 = 2

End of the Chapter

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

Various names by which the dot product is known.
Definition of the dot product for geometrical vectors.
Commutative property of the vector dot product.
Cosine of an angle.
Dot product of orthogonal vectors.
Dot product and vector length.
Properties of the vector dot product (list)
Dot product of 2D column matrices.
Commutative property of column matrix dot product.
Dot product of 3D column matrices.
Dot product of a column matrix with itself.
Distributive property of column matrix dot product.

Click on a term to see where it was discussed in this chapter. Remember to click on the "Back" arrow of your browser to get back to this page. The next chapter will discuss how the dot product relates to the length of a vector.

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