How to Find Parallel Vectors ?
If two vectors are parallel to each other they can be represented as scaler multiple of one another i.e. we can say that the given two vectors X and Y are parallel, if there exists a unique number ‘k’ such that:
X = k × Y
where k can be positive, negative or zero.
- If k is positive then the vectors are parallel and in the same direction.
- If k is negative then the vectors are parallel and in opposite direction or they are antiparallel to each other.
Parallel Vector
Parallel vectors are considered one of the most important concepts in vector algebra. When two vectors have the same or opposite direction, they are said to be parallel to each other. Note that parallel vectors can differ in magnitude, and two parallel vectors can never intersect each other. They are widely used in mathematics, physics, and other areas of engineering for defining lines and planes, representing force and velocity, and analyzing various structures.
In this article, we will learn about parallel vectors, the dot product, and the cross product of parallel vectors, as well as their properties, in detail.
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