Learn Class 12 Math - Vector Algebra

The term vector refers to the quantity that consists of both direction and magnitude.

Vector AB is a line segment.

It is a vector AB, and its moving direction is from A to B.

• Beginning Points: Point A, where the vector AB begins, is the beginning point.
• Terminal point: Point B, where the terminal point closes, is said.
• Magnitude: The distance between the starting point and terminal mark of a vector is the size of the vector's length AB. It is indicated by |AB| or |a| or basically as a.

Position vector

Think about a point F(x, y, z) in space.

The vector OP with an underlying point as beginning O and terminal point P is known as the position vector of P. It very well might be meant by vector p.

Vector types

Many types of the vector are there:

1. Null vector:

• A vector whose underlying and terminal focuses correspond.
• And it is known as the zero vector (0).

2. Co-initial vectors:

• When two or more vectors contain the same starting point, then

3. Collinear vectors:

• When two or more vectors become parallel to the same line.

4. Equal vectors:

• If two vectors a and b have a similar size and heading, no matter what the places of their underlying places.