In this problem, we'll perform vector addition and subtraction and determine vector magnitude.

2D vector Magnitude:

$\overline{)\mathbf{\left|}\stackrel{\mathbf{\rightharpoonup}}{\mathit{A}}\mathbf{\right|}{\mathbf{=}}\sqrt{{{\mathit{A}}_{\mathit{x}}}^{\mathbf{2}}\mathbf{+}{{\mathit{A}}_{\mathit{y}}}^{\mathbf{2}}}}$

Consider two vectors A and B. expressed in unit vector notation as **A** = a_{1}**i** + a_{2}**j** and **B** = b_{1}**i** + b_{2}**j**.

Part (a). Enter an expression for the vector sum A + B in terms of quantities shown in the expressions above.

Part (b). Enter an expression for the difference vector A - B in terms of quantities shown in the expressions above

Part (c). Enter an expression for the square of the magnitude of the sum vector | A + B | in terms of quantities shown in the expressions above.

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Adding Vectors by Components concept. You can view video lessons to learn Adding Vectors by Components. Or if you need more Adding Vectors by Components practice, you can also practice Adding Vectors by Components practice problems.