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thushanthan
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Homework Statement
When two vectors are said to be parallel?
Feldoh said:Two vectors are parallel if they are in the same direction. How do you figure out if they are in the same direction?
Two vectors are parallel if they have the same direction or are in the same line, even if they have different magnitudes.
To determine if two vectors are parallel, you can use the dot product. If the dot product is equal to zero, the vectors are perpendicular and not parallel. If the dot product is greater than zero, the vectors are parallel and in the same direction. If the dot product is less than zero, the vectors are parallel and in opposite directions.
Parallel vectors have the same direction or are in the same line, while collinear vectors are vectors that lie on the same line, but do not necessarily have the same direction.
Yes, two vectors can be parallel even if they have different magnitudes. As long as they have the same direction, they are considered parallel.
When two vectors are parallel, vector addition and subtraction are simplified, as the magnitude and direction of the resulting vector are the same as the original vectors. However, parallelism does not affect scalar multiplication of vectors.