Question

required information
four vectors are shown below, where l = 8.00.
find the x - component of the vector \\(\vec{b}\\).
\\(\square\\) m/s

Explanation:

Step1: Identify vector magnitude & angle

Magnitude $l = 8.00$ m/s, angle with x-axis is $20.0^\circ$ (below x-axis, but x-component is positive).

Step2: Calculate x-component

Use $B_x = l\cos\theta$
<Expression>
$B_x = 8.00 \times \cos(20.0^\circ)$
</Expression>

Step3: Compute the value

$\cos(20.0^\circ) \approx 0.9397$, so $B_x \approx 8.00 \times 0.9397$
<Expression>
$B_x \approx 7.52$
</Expression>

Answer:

7.52 m/s