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When two vectors $\vec{A} and \vec{B}$ of magnitudes ‘a’ and ‘b’ respectively are added, the magnitude of resultant vector is always

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Equal to (a + b)

Less than (a + b)

Greater than (a + b)

Not greater than (a + b)

answer is D.

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Detailed Solution

$|| \vec{A} | - | \vec{B} || \leq | \vec{A} + \vec{B} | \leq | \vec{A} | + | \vec{B} |$

$|a - b| \leq | \vec{A} + \vec{B} | \leq a + b$

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