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The correct answer is (E) It could have any value between 2.0 km and 14.0 km depending on how the vectors are oriented.
The magnitude of the resultant displacement could have any value between 2.0 km and 14.0 km depending on how the vectors are oriented.
How is resultant displacement calculated?
In physics, displacement (which is a vector quantity) refers to a change in an object's position. When you compute displacement, you compare an object's original and final locations to determine how "out of place" it is. The formula you employ to calculate displacement will be based on the variables presented to you in a particular problem.
The resultant is the vector sum of each individual vector. The different vectors are combined to produce the outcome. By combining the separate displacements using vector addition techniques, the outcome can be calculated.
Therefore the resultant displacement can have any value from 2-14. It depends upon the orientation of displacement vectors.
To know more about vector addition visit:
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The complete question is:
"A physics student adds two displacement vectors with magnitudes of 8.0 km and 6.0 km. Which one of the following statements is true concerning the magnitude of the resultant displacement? A) It must be 10.0 km. B) It must be 14.0 km. C) It could be equal to zero kilometers, depending on how the vectors are oriented. D) No conclusion can be reached without knowing the directions of the vectors. E) It could have any value between 2.0 km and 14.0 km depending on how the vectors are oriented."
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