When are two vectors parallel?
Understand the Problem
The question is asking about the conditions under which two vectors are considered parallel. This typically involves understanding the mathematical concept of vectors and the relation of their directions and magnitudes.
Answer
When one vector is a multiple of the other or the angle between them is 0° or 180°.
Two vectors are parallel if and only if one is a multiple of the other or if the angle between them is either 0 degrees or 180 degrees.
Answer for screen readers
Two vectors are parallel if and only if one is a multiple of the other or if the angle between them is either 0 degrees or 180 degrees.
More Information
Parallel vectors can either point in the same direction or in exactly opposite directions; hence, the angle between the vectors can be 0 degrees (same direction) or 180 degrees (opposite directions).
Sources
- If two vectors are parallel, what is the condition? - Quora - quora.com
- 2.5: Parallel and Perpendicular Vectors, The Unit Vector - math.libretexts.org
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