The magnitude of the sum of two vectors is expressed as:
Assessing the options given, we know that the magnitude of vectors A and B are fixed.
Therefore, the magnitude of the sum of these vectors depends only on the angle, θ between them.
If the vectors are in the same direction, θ = 0°
Thus, |A + B| = sqrt [A2 + B2 + 2AB cos(0°)] = sqrt(A2+B2+2AB) = A + B
When the two vectors are pointing in the opposite direction, θ = 180°
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