Question

question 25 of 25 what is the length of the x - component of the vector shown below? a. 5.3 b. 24.7 c. 3.2 d. 2.8

Explanation:

Step1: Recall vector - component formula

The formula for the x - component of a vector $\vec{v}$ with magnitude $v$ and angle $\theta$ with the x - axis is $v_x = v\cos\theta$.

Step2: Identify values

Here, $v = 6$ and $\theta=28^{\circ}$.

Step3: Calculate the x - component

$v_x=6\times\cos(28^{\circ})$. Since $\cos(28^{\circ})\approx0.8829$, then $v_x = 6\times0.8829 = 5.2974\approx5.3$.

Answer:

A. 5.3