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Q.

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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a

Equal to (a + b)

b

Not greater than (a + b)

c

Less than (a + b)

d

Greater than (a + b)

answer is D.

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Detailed Solution

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

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

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When two vectors A→ and B→ of magnitudes ‘a’ and ‘b’ respectively are added, the magnitude of resultant vector is always