Add and Subtract Vectors

Definition: When vectors are added, the sum is called the resultant and can be represented with a single vector.

To add/subtract vectors <a, b> and <c, d>, add/subtract the components:

<a  ±  c, b  ±  d>.

Subtracting one vector from another is the same as adding the opposite vector.

Example: Add the following vectors, A and B.

A = <1, 2>
B = <0, -2>

Solution:

Step 1: To add these vectors, we can add their corresponding components:

<1, 2> + <0, -2>
= <(1 + 0), (2 + -2)>
AB = <1, 0>

Still have need help adding and subtracting vectors? Download Yup and get help from an expert math tutor 24/7.