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When two vectors in the same direction are added, the magnitude of resulting vector is equal to _______

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When two vectors in the same direction are added, the magnitude of resulting vector is equal to _______

(a) Sum of magnitudes of the vectors

(b) Difference of magnitudes of the vectors

(c) Product of magnitudes of the vectors

(d) Sum of the roots of magnitudes of the vectors

The question was asked in homework.

My question is taken from Vector Addition topic in portion Motion in a Plane of Physics – Class 11

1 Answer

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Best answer
Right option is (a) Sum of magnitudes of the vectors

Best explanation: Consider the graphical representation of these two vectors. When one vector is added to the other in the same direction, the lengths will be added. The resultant vector will bear the resultant length. Length is the magnitude of the vector. Hence the magnitudes add to give the magnitude of the resultant vector.

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