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The magnitude of the resultant vector shown is _____.

The magnitude of the resultant vector shown is _____.-example-1
User Jibbs
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1 Answer

7 votes

Answer:

2√3

Explanation:

You recognize this as a 30°-60°-90° triangle, so you know the hypotenuse (R) is twice the length of the shortest side (√3).

The magnitude of R is 2√3.

_____

In case you haven't memorized the ratios for a 30°-60°-90° triangle, you can use trigonometry and the fact that ...

Sin = Opposite/Hypotenuse

sin(30°) = √3/R

R = √3/sin(30°) = √3/(1/2) = 2√3

Of course, doing this on your calculator will give a numerical answer, which you may not want.

The magnitude of the resultant vector shown is _____.-example-1
User Desmond Lee
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5.2k points