1 Answer

Shal · Answer 1 · 2022-08-24T03:59:51+0000

Answer: 6.24 km

Step-by-step explanation:

Given

The magnitude of the first vector(say)
$\left | a\right |=5\ km$

the magnitude of the second vector(say)
$\left | b\right |=7\ km$

the angle between them is
$120^(\circ)$

The resultant vector magnitude is given by

$\left | \vec{R}\right |=√(a^2+b^2+2ab\cos \theta)$

$\left | \vec{R}\right |=\sqrt{5^2+7^2+2* 5* 7\cdot \cos 120^(\circ)}\\\left | \vec{R}\right |=√(74-35)=√(39)\\\left | \vec{R}\right |=6.24\ km$

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