First slide

Vectors

Question

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

Moderate

A

Equal to (a+b)
B

Less than (a+b)
C

Greater than (a+b)
D

Not greater than (a+b)

Solution

$| \vec{a} + \vec{b} | \leq | \vec{a} | + | \vec{b} | i.e. | \vec{a} + \vec{b} | \leq a + b$

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