First slide

Vectors

Question

If $| \vec{A} + \vec{B} | = | \vec{A} | + | \vec{B} |$ , then angle between $\vec{A} and \vec{B}$ will be

Moderate

A

$90^{0}$
B

$120^{0}$
C

$0^{0}$
D

$60^{0}$

Solution

Resultant of two vectors $\vec{A} and \vec{B}$ can be given by
$\vec{R} = \vec{A} + \vec{B}$
$| \vec{R} | = | \vec{A} + \vec{B} | = \sqrt{A^{2} + B^{2} + 2 ABcosθ}$
If $θ = 0^{0}$ then $| \vec{R} | = A + B = | \vec{A} | + | \vec{B} |$

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