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The magnitude of the resultant of the two vectors is always:
- a)Greater than one of the vector’s magnitude
- b)Smaller than one of the vector’s magnitude
- c)Depends on the angle between them
- d)Axis we choose to calculate the magnitude
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
The magnitude of the resultant of the two vectors is always:a)Greater ...
Yes, the magnitude of the resultant of the two vectors always depends on the angle between them. It might be greater or smaller than one of the vector’s length. For perfectly saying, it does depends upon the angle between them.
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The magnitude of the resultant of the two vectors is always:a)Greater ...
B)Less than one of the vector
c)Equal to one of the vector
d)Equal to the sum of the magnitudes of the two vectors
d) Equal to the sum of the magnitudes of the two vectors.
The magnitude of the resultant vector is determined by the Pythagorean theorem, which states that the square of the magnitude of the resultant vector is equal to the sum of the squares of the magnitudes of the two individual vectors. Mathematically, this can be expressed as:
|R|² = |A|² + |B|²
where |R| is the magnitude of the resultant vector, |A| is the magnitude of vector A, and |B| is the magnitude of vector B.
From this equation, it is clear that the magnitude of the resultant vector is always equal to the sum of the magnitudes of the two individual vectors. Therefore, option d) is correct.
c)Equal to one of the vector
d)Equal to the sum of the magnitudes of the two vectors
d) Equal to the sum of the magnitudes of the two vectors.
The magnitude of the resultant vector is determined by the Pythagorean theorem, which states that the square of the magnitude of the resultant vector is equal to the sum of the squares of the magnitudes of the two individual vectors. Mathematically, this can be expressed as:
|R|² = |A|² + |B|²
where |R| is the magnitude of the resultant vector, |A| is the magnitude of vector A, and |B| is the magnitude of vector B.
From this equation, it is clear that the magnitude of the resultant vector is always equal to the sum of the magnitudes of the two individual vectors. Therefore, option d) is correct.
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The magnitude of the resultant of the two vectors is always:a)Greater ...
The time taken to complete one oscillating is called
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The magnitude of the resultant of the two vectors is always:a)Greater than one of the vector’s magnitudeb)Smaller than one of the vector’s magnitudec)Depends on the angle between themd)Axis we choose to calculate the magnitudeCorrect answer is option 'C'. Can you explain this answer?
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