The vector below has |\vec{A}| = 8.5 and \theta = 11.4. Determine the value of the component and vector. Enter your answer to two decimal places

To find the components of a vector $$\(\mathbf{A}\) with magnitude \(|\mathbf{A}| = 8.5\)$$ and angle $$\(\theta = 11.4\) $$degrees, we use trigonometric functions. The components are given by: $$\[A_x = |\mathbf{A}| \cdot \cos(\theta)\]$$ $$\[A_y = |\mathbf{A}| \cdot \sin(\theta)\]$$ Substituting the given values: $$\[A_x = 8.5 \cdot \cos(11.4^\circ) \approx 8.33\]$$ $$\[A_y = 8.5 \cdot \sin(11.4^\circ) \approx 1.68\]$$ So, the value of the x-component is approximately 8.33 and the value of the y-component is approximately 1.68. The vector $$\(\mathbf{A}\) in component form is \((8.33, 1.68)\).$$