NCERT Solutions for Class 12 Maths Exercise 10.2

Class 12 Maths Exercise 10.2 in Hindi and English Medium are given below in PDF file format. All the solutions are prepared for academic session 2024-25 for CBSE and UP Board. Videos related to exercise 10.2 of 12th Maths in Hindi and English Medium are given separately. Other state board’s students also take the benefits of these solutions in Hindi Medium or English Medium. Videos related to all questions in Hindi and English are also available free to use.

Let “L” be any straight line in a plane or three-dimensional space. This line can use two directions. A line in one of these fixed directions is called a directed line. If we limit the line L to the line segment AB, a magnitude is determined on the line L along one of the two directions, so that we get the directed line segment. Therefore, a directed line segment has both magnitude and direction.

A quantity that has both magnitude and direction is called a vector. The point A from where the vector starts is called its starting point, and the point B where it ends is called its terminal point. The distance between the initial and terminal points of the vector is called the magnitude (or length) of the vector, which is represented as AB or | A |, or a. The arrow indicates the direction of the vector.

From class XI mathematics, remember the right-hand three-dimensional rectangular coordinate system. Consider a point P in space, which has coordinates (x, y, z) with respect to the origin O (0, 0, 0). So the position of the point P with respect to its initial and terminal point, O, is the vector which contains O and P respectively.