Physics, asked by drshrutishruti3669, 11 months ago

Expression vectors and its types easy notes

Answers

Answered by michealjackson143
3

The characteristics of vectors are as followed –

• They possess both magnitudes as well as direction.

• They do not obey the ordinary laws of Algebra.

• These change if either the magnitude or direction change or both change.

Unit Vector

A unit vector is that vector which is a vector of unit magnitude and points in a particular direction. The unit vector in the direction

and is defined by –lal

The unit vectors along the x, y and z-axis

respectively.

Equal Vectors

Vectors A and B are equal if | A | = | B | as well as their directions, are same.

Zero Vectors

Zero vector is a vector with zero magnitudes and an arbitrary direction is a zero vector. It can be represented by O and is a  Null Vector.

Negative of a Vector

The vector whose magnitude is same as that of a (vector) but the direction is opposite to that of a ( vector ) is referred to as the negative of a ( vector ) and is written as – a ( vector ).

Parallel Vectors

A and B are said to be parallel vectors if they have the same direction, or may or may not have equal magnitude ( A || B ). If the directions are opposite, then A ( vector ) is anti-parallel to B ( vector ).

Coplanar Vectors

If the vectors lie in the same plane or they are parallel to the same plane, the vectors are said to be coplanar. If not, the vectors are said to be non – planar vectors.

Displacement Vectors

The displacement vector refers to that vector which gives the position of a point with reference to a point other than the origin of the coordinate system

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