I don't know what you mean by "I did the normal AB = AC." The word "normal" usually means perpendicular.homeworkhelpls said:
A position vector is a mathematical representation of the position of a point in space relative to a chosen reference point. It is typically represented by an arrow pointing from the reference point to the point in question, and its magnitude and direction indicate the distance and direction of the point from the reference point.
A position vector is calculated by subtracting the coordinates of the reference point from the coordinates of the point in question. For example, if the reference point has coordinates (x1, y1, z1) and the point in question has coordinates (x2, y2, z2), the position vector would be (x2-x1, y2-y1, z2-z1).
The "3di" in the position vector represents the three-dimensional nature of the vector. The "3" indicates that the vector has three components (x, y, and z), and the "i" represents the direction of the vector in the x-axis. This can be replaced with "j" for the y-axis and "k" for the z-axis.
Position vectors are important in science because they allow us to precisely describe the position of objects in space. This is crucial in many fields, such as physics, engineering, and astronomy, where accurate measurements of distance and direction are necessary for understanding and predicting the behavior of objects.
Yes, a position vector can have negative components. This indicates that the point in question is located in the negative direction of that particular axis relative to the reference point. For example, if the x-component of the position vector is -5, it means that the point is 5 units to the left of the reference point on the x-axis.