A vector has the given initial and terminal points. What is the corresponding position vector? Initial point: \( (2,-5,-2) \) Terminal point: \( (-1,4,0) \) Position vector: \( [ \) Ex: 5\( ], \square, \square] \)

To find the position vector from the initial point \( (2,-5,-2) \) to the terminal point \( (-1,4,0) \), you need to subtract the coordinates of the initial point from the coordinates of the terminal point. Calculating each component: - For the x-component: \(-1 - 2 = -3\) - For the y-component: \(4 - (-5) = 4 + 5 = 9\) - For the z-component: \(0 - (-2) = 0 + 2 = 2\) So the position vector is: \([-3, 9, 2]\).