Question

question 6 of 24 resolve the vector shown below into its components. a. 𝒔 = 3x - 2y b. 𝒔 = 3x + 2y c. 𝒔 = -3x - 2y d. 𝒔 = -3x - 4y

Explanation:

Step1: Identify x - component

Starting from the tail of the vector at the origin (0,0) and moving horizontally to the tip of the vector, we move 3 units to the right. In a two - dimensional vector $\vec{s}=s_x\vec{x}+s_y\vec{y}$, the x - component $s_x = 3$.

Step2: Identify y - component

Then, moving vertically from the end of the horizontal movement to the tip of the vector, we move 2 units up. So the y - component $s_y=2$.

Step3: Write the vector

The vector $\vec{s}$ in component form is $\vec{s}=3\vec{x}+2\vec{y}$.

Answer:

B. $\vec{s}=3\vec{x} + 2\vec{y}$