What are Parallel Vectors?
Parallel vectors are vectors that have the same or opposite direction. When the angle between two vectors is 0° or 180°, then the vectors are said to be parallel vectors.
Parallel vectors may or may not differ in magnitude. Sometimes, when the angle between two parallel vectors is 180°, they are also referred to as antiparallel vectors. Parallel vectors are also known as collinear vectors because they lie on the same or parallel lines.
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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