Question

Two vectors of magnitude 10 and 20 unit are placed at an angle 30°with each other.Find the resultant of the two vectors.Plz give the representation also.​

Answer 1

Refer to the attachment.

Answer 2

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Consider the Problem

A and B each of magnitudes same = 10 unit

Angle between A and B = 30∘ 

Now,

Resultant,

|R| = |A + B|

then,

$R = \sqrt{A² + B² + 2AB \: cos \: θ }$

Where θ is angle between A and B

$= \sqrt{100 + 100 + 2(100) \: cos \: 30⁰}$

$= 10 \sqrt{1+ 1+ \sqrt{3} }$

$= 10 \sqrt{2 + \sqrt{3} } \: unit$

Hence the resultant is

$10 \sqrt{2 \: + \sqrt{3} } \: unit$

Hope It'll Helps!