how |vector a*vector b| = |vector a| * |vector b| ? please explain it.
Answers
Answer:
Characteristics of Vectors
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 of A⃗ is A^ and is defined by –
| A | A^ = A⃗
The unit vectors along the x, y and z-axis is i^, j^, and k^ 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.
Vectors
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
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 ).