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If vec(A) , vec(B) and vec(C ) are three...

If `vec(A) , vec(B) and vec(C )` are three vectors when you can say that `vec(A) + vec(B) = vec(C ) and A+B = C ` are the same ?

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To determine when the vector equation \(\vec{A} + \vec{B} = \vec{C}\) is equivalent to the scalar equation \(A + B = C\), we need to analyze the conditions under which both equations hold true. ### Step-by-Step Solution: 1. **Understanding Vector Addition**: - The vector addition \(\vec{A} + \vec{B} = \vec{C}\) implies that the resultant vector \(\vec{C}\) is obtained by adding the vectors \(\vec{A}\) and \(\vec{B}\). - The magnitude of the resultant vector can be calculated using the formula: \[ ...
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