Dot Product:

$\overline{)\stackrel{\mathbf{\rightharpoonup}}{\mathbf{F}}{\mathbf{\xb7}}\stackrel{\mathbf{\rightharpoonup}}{\mathbf{E}}{\mathbf{=}}{\mathbf{F}}{\mathbf{E}}{\mathbf{c}}{\mathbf{o}}{\mathbf{s}}{\mathbf{\varphi}}}$

**A.**

From the dot product equation:

Φ = cos^{-1}(F•E/FE)

F•E = (-i + 2j)•(i + j) = - 1 + 2 = 1

A. What is the angle ? between vectors E? and F? in the figure? (Figure 1)

B. Use components to determine the magnitude of *G*? =*E*? +*F *?

C. Use components to determine the direction of *G*? =*E*? +*F *?

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