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a vector may change if

Question

a vector may change if

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Solution

A vector may change if:

  1. Its magnitude is altered: The magnitude of a vector is its length or size. If this is increased or decreased, the vector changes. For example, a force vector of 10N is not the same as a force vector of 20N.

  2. Its direction is altered: The direction of a vector is the way it is pointing. If this is changed, the vector changes. For example, a force vector pointing north is not the same as a force vector pointing east.

  3. Its sense is altered: The sense of a vector is the direction in which the vector quantity acts. If this is reversed, the vector changes. For example, a force vector acting to the right is not the same as a force vector acting to the left.

  4. It is multiplied by a scalar: When a vector is multiplied by a scalar, both its magnitude and direction can change. For example, multiplying a vector by -1 will reverse its direction.

  5. It is added or subtracted with another vector: When vectors are added or subtracted, the resultant vector (the vector sum or difference) will generally have a different magnitude and direction than the original vectors.

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