A vector has the given initial and terminal points. What is the corresponding position vector? Initial point: \( (-1,3) \) Terminal point: \( (-3,4) \) Position vector: [ Ex: 5 ,

To find the position vector, subtract the initial point coordinates from the terminal point coordinates. So, for our points \( (-1,3) \) and \( (-3,4) \): Position vector = \( (-3 - (-1), 4 - 3) \) = \( (-3 + 1, 1) \) = \( (-2, 1) \). The corresponding position vector is \( (-2, 1) \). To visualize vectors, think of them as arrows pointing from one point to another on a graph! The length and direction of the arrow show not only how far apart the points are but also where the second point lies in relation to the first. It's like drawing a straight line from point A to point B and seeing the direct path between them – so cool, right?