Vector Components:

$\overline{)\begin{array}{rcl}{\mathit{A}}_{\mathit{x}}& {\mathbf{=}}& \mathbf{\left|}\stackrel{\mathbf{\rightharpoonup}}{\mathit{A}}\mathbf{\right|}\mathbf{}\mathbf{cos}\mathbf{}\mathit{\theta}\\ {\mathit{A}}_{\mathit{y}}& {\mathbf{=}}& \mathbf{\left|}\stackrel{\mathbf{\rightharpoonup}}{\mathit{A}}\mathbf{\right|}\mathbf{}\mathbf{sin}\mathbf{}\mathit{\theta}\end{array}}$

**Part A**

E_{x} = E(-cosθ), since cosθ is always negative when θ is above the negative x-axis.

E_{x} = -Ecosθ

Part A: What is the *x*-component of vector *E *of the figure in terms of the angle *θ* and the magnitude *E* ? (Express your answer in terms of the variables *θ* and *E* )

Part B: What is the *y*-component of vector *E*⃗ of the figure in terms of the angle *θ* and the magnitude *E* ? (Express your answer in terms of the variables *θ* and *E* )

Part C: For the same vector, what is the *x*-component in terms of the angle *ϕ* and the magnitude *E* ? (Express your answer in terms of the variables *ϕ* and *E* )

Part D: For the same vector, what is the *y*-component in terms of the angle *ϕ* and the magnitude *E* ? (Express your answer in terms of the variables *ϕ* and *E )*

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