Question

required information
four vectors are shown below, where ( l = 8.00 ).

find the ( x )-component of the vector ( vec{a} ).

(square) m

Explanation:

Step1: Identify formula for x-component

The x-component of a vector $\vec{A}$ with magnitude $l$ and angle $\theta$ from the x-axis is $A_x = l\cos\theta$.

Step2: Substitute given values

Here, $l=8.00$ m, $\theta=20.0^\circ$.
$A_x = 8.00 \times \cos(20.0^\circ)$
Calculate $\cos(20.0^\circ) \approx 0.9397$, so:
$A_x = 8.00 \times 0.9397$

Answer:

7.52 m