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Can a vector be less than its magnitude?
For a start, you can't compare a vector with a scalar, so you can't really compare a vector with its magnitude, either. To say which is larger, you can't even compare one vector with another - you can only compare their magnitudes.
What is the result of multiplying vector components by a scalar?
If the scalar is > 1 the resultant vector will be larger and in the same direction. = 1 the resultant vector will be the same as the original vector. between 0 and 1 the resultant vector will be smaller and in the same direction. = 0 the resultant vector will be null. If the scalar is less than 0, then the pattern will be the same as above except that the direction of the resultant will be reversed.
Can a vector have a component greater than its magnitude?
No a vector may not have a component greater than its magnitude. When dealing with highschool phyics problems, the magnitude is usually the sum of two or more components and one component will offset the other, causing the magnitude to be less then its component
What magnitude is not possible when a vector of magnitude 3 is added to a vector of magnitude 4?
7
Can the magnitude of a resultant vector be greater than the sum of individual vectors?
The resultant vector IS the sum of the individual vectors. Its magnitudecan be the sum of their individual magnitudes or less, but not greater.
