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Yes. When all vectors point in the same direction the inequality rule is applied and r can be less than r1 + r2.

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12y ago

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Can a magnitude of vector greater than its components?

Unless the vector is one dimensional, or only valued along one base in a multidimensional space, in which case the magnitude is equal to it's components, a vector's magnitude has to be greater than its components.


Can a vector have zero magnitude if one of its component is not zero?

No, a vector cannot have zero magnitude if one of its components is not zero. The magnitude of a vector is determined by the combination of all its components, so if any component is not zero, the vector will have a non-zero magnitude.


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 is the relation between magnitude of distance and displacement?

-- Distance is a scalar quantity, whereas displacement is a vector. -- Distance is the integral of magnitude of displacement. -- Magnitude of displacement is always less than or equal to distance. -- The two quantities are equal when the motion is in a straight line.


Is weight scalar or vector quantity?

scalar, produced by the scalar product of two vector quantities ... Force · Distance


What magnitude is not possible when a vector of a magnitude of 3 is added to a vector of a magnitude of 4?

It is not possible to obtain a vector with a magnitude of 7 when adding vectors of magnitude 3 and 4. The resultant magnitude will be between 1 and 7, as the triangle inequality states that the magnitude of the sum of two vectors is less than or equal to the sum of their magnitudes.


What magnitude is not possible when a vector of magnitude 3 is added to a vector of magnitude 4?

7


Under what circumstances can a vector have components that are equal in magnitude?

(Magnitude of the vector)2 = sum of the squares of the component magnituides Let's say the components are 'A' and 'B', and the magnitude of the vector is 'C'. Then C2 = A2 + B2 You have said that C = A, so C2 = C2 + B2 B2 = 0 B = 0 The other component is zero.


Can a vector have zero magnitudes if one of its component is not zero?

No. The magnitude of a vector can't be less than any component.


Can the magnitude of a vector be less than magnitudes both of components?

The magnitude of the sum of any two vectors can be anywhere between zero and the sum of their two magnitudes, depending on their magnitudes and the angle between them. When you say "components", you're simply describing a sum of two vectors that happen to be perpendicular to each other. In that case, the magnitude of their sum is Square root of [ (magnitude of one component)2 + (magnitude of the other component)2 ] It looks to me like that can't be less than the the magnitude of the greater component.