Two vectors of same units have magnitude of 8 unit and 5 unit. What are the maximum and minimummagnitude of resultant that can be obtained with the two vectors?
Question
Two vectors of same units have magnitude of 8 unit and 5 unit. What are the maximum and minimummagnitude of resultant that can be obtained with the two vectors?
Solution
The magnitude of the resultant of two vectors can be found using the principles of vector addition.
The maximum magnitude of the resultant vector is obtained when the two vectors are aligned in the same direction. In this case, you simply add the magnitudes of the two vectors. So, for your vectors with magnitudes of 8 units and 5 units, the maximum resultant magnitude would be 8 + 5 = 13 units.
The minimum magnitude of the resultant vector is obtained when the two vectors are aligned in opposite directions. In this case, you subtract the smaller magnitude from the larger one. So, for your vectors, the minimum resultant magnitude would be 8 - 5 = 3 units.
So, the maximum and minimum magnitudes of the resultant that can be obtained with the two vectors are 13 units and 3 units, respectively.
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