For a given vector **a**, a vector which has the same magnitude but in the opposite direction of a is called the negative of vector **a** , and is denoted by –**a**.

The subtraction of a vector **v** from a vector **u** can be denoted as adding the vector –**v** to **u**: **u** – **v** = **u** + (-**v**).

A vector with the same initial point and the terminal point has zero magnitude. It is called a zero vector, or a null vector, and is denoted by **0**. **a** + (-**a**) = **a** – **a** = **0**.

When a vector **a** is multiplied by a constant k, the product k**a** is called a scalar multiplication of** a** and is defined as follows:

* If k > 0, k**a** is a vector with magnitude k|**a**| and in the same direction as **a**;

* If k < 0, k**a** is a vector with magnitude -k|**a**| and in the opposite direction of **a**;

* If k = 0, k**a** is a zero vector **0**.

Homework: Page 1, Page 2, Page 3, Page 4, Page 5

Workbook Page 33, #6, #7, #10, #11, #14 – #18, #20, #21.

Answers to last week’s homework: answers