These are the component forms of vectors \( \vec{p} \) and \( \vec{q} \) : \( \vec{p}=(5,0) \) \( \vec{q}=(4,-3) \) Colten and Martha tried to find the difference \( \vec{p}-\vec{q} \) of the vectors.

To find the difference of the vectors \( \vec{p} \) and \( \vec{q} \), we can use the component forms of the vectors. The difference of two vectors is calculated by subtracting their corresponding components. Given: - \( \vec{p} = (5, 0) \) - \( \vec{q} = (4, -3) \) The difference \( \vec{p} - \vec{q} \) can be calculated as follows: \[ \vec{p} - \vec{q} = (p_1 - q_1, p_2 - q_2) \] Where: - \( p_1 = 5 \), \( p_2 = 0 \) - \( q_1 = 4 \), \( q_2 = -3 \) Now, substituting the values: 1. Calculate the first component: \[ p_1 - q_1 = 5 - 4 = 1 \] 2. Calculate the second component: \[ p_2 - q_2 = 0 - (-3) = 0 + 3 = 3 \] Putting it all together, we have: \[ \vec{p} - \vec{q} = (1, 3) \] Thus, the difference of the vectors \( \vec{p} \) and \( \vec{q} \) is \( (1, 3) \).