Vector Class 12 NCERT Solution Quick Revision|EX-10.2----11.2||

Vector Class 12 NCERT Solution Quick Revision|EX-10.2----11.2||#vector_3DGeometry#ncertclass12#maths12#
Vector and 3D geometry are fundamental concepts in mathematics that find applications in various fields, including physics, computer graphics, engineering, and more. Here's an overview of key concepts in vector and 3D geometry:

Vectors:
Definition:

A vector is a quantity that has both magnitude and direction.
Written in bold, such as v.
Representation:

Can be represented as an ordered set of numbers (components).
Example: v = (a, b, c) in three-dimensional space.
Vector Operations:

Scalar Multiplication: Multiplying a vector by a scalar changes its magnitude.
Vector Addition: Adding corresponding components of two vectors.
Vector Subtraction: Subtracting corresponding components of two vectors.
Dot Produt
​

Midpoint of a line segment between two points.
Vectors in 3D Space:

Vector operations and their geometric interpretations.
Applications of vectors in physics (force, velocity, acceleration).
Parametric and Symmetric Equations:

Representing lines and planes in different forms.
Intersection of Lines and Planes:

Solving systems of equations to find the common point.
3D Shapes:

Representations and equations for basic 3D shapes (spheres, cylinders, cones).
Transformation in 3D:

Translation, rotation, scaling, and reflection.
Understanding these concepts is crucial for solving problems in geometry, physics, computer graphics, and engineering that involve three-dimensional space.