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What if we multiply a scalar to the unit vector?
- a)The direction will change accordingly
- b)The magnitude will change accordingly
- c)The magnitude will not change accordingly
- d)The direction will change by a factor of square root of the scalar
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
What if we multiply a scalar to the unit vector?a)The direction will c...
The magnitude of the unit vector will change by the amount of the scalar multiplied. Not the direction. Because the direction is being fixed after the application of the unit vector’s calculation. That is the vector divided by its magnitude.
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What if we multiply a scalar to the unit vector?a)The direction will c...
Explanation:
When we multiply a scalar to a unit vector, the resulting vector will have a magnitude equal to the scalar multiplied by the magnitude of the unit vector. However, the direction of the resulting vector will remain the same as that of the unit vector.
- Magnitude of the resulting vector: The magnitude of the resulting vector will change accordingly when we multiply a scalar to the unit vector. This is because the magnitude of the resulting vector will be equal to the scalar multiplied by the magnitude of the unit vector.
- Direction of the resulting vector: The direction of the resulting vector will not change accordingly when we multiply a scalar to the unit vector. This is because the direction of a unit vector is fixed and remains the same no matter what scalar is multiplied to it.
Therefore, option 'B' is the correct answer as the magnitude of the resulting vector will change accordingly when we multiply a scalar to the unit vector.
When we multiply a scalar to a unit vector, the resulting vector will have a magnitude equal to the scalar multiplied by the magnitude of the unit vector. However, the direction of the resulting vector will remain the same as that of the unit vector.
- Magnitude of the resulting vector: The magnitude of the resulting vector will change accordingly when we multiply a scalar to the unit vector. This is because the magnitude of the resulting vector will be equal to the scalar multiplied by the magnitude of the unit vector.
- Direction of the resulting vector: The direction of the resulting vector will not change accordingly when we multiply a scalar to the unit vector. This is because the direction of a unit vector is fixed and remains the same no matter what scalar is multiplied to it.
Therefore, option 'B' is the correct answer as the magnitude of the resulting vector will change accordingly when we multiply a scalar to the unit vector.
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What if we multiply a scalar to the unit vector?a)The direction will c...
Unit vector is 1. Then why it's magnitude changes.
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What if we multiply a scalar to the unit vector?a)The direction will change accordinglyb)The magnitude will change accordinglyc)The magnitude will not change accordinglyd)The direction will change by a factor of square root of the scalarCorrect answer is option 'B'. Can you explain this answer?
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