I\'m having trouble understanding the solution to this problem: https://www.cheg

Question

I'm having trouble understanding the solution to this problem: https://www.chegg.com/homework-help/Multivariable-Calculus-2nd-edition-chapter-11.1-problem-53E-solution-9780321954343

This part in particular: I don't understand how these formulas were formed. What were the base formulas they used? And how were they filled in for this problem?

Thanks

Therefore, using Parallelogram Laws v is the resultant of the two vectors v,v Hence, -V1+3+2V3 cos150 And vsin sin 1 50? 3 +cos150 2 ? : 30. Therefore, the magnitude of the wind is1 m/s and the direction is 30 east of north

Explanation / Answer

To find the resultant vector using parallelogram, we need to use law of cosine which is

a2=b2+c2-2b c cos A

a is the resultant vector and b and c are the two given vectors which in the question are 1 and sqrt 3 respectively. And A=150degree .

Using the law of cosine and given magnitude of the vector with the angle, we can find the resultant vector.

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