Question

fill in the blank question
when two vectors are added, and the magnitudes of the two vectors and the contained between them are given, the magnitude of the resultant vector can be found using the law of.
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Explanation:

When adding two vectors, if their magnitudes and the included angle are known, the law of cosines is used. The law of cosines relates the lengths of the sides of a triangle to the cosine of one of its angles. In vector addition, the two vectors and the resultant vector form a triangle. The included angle between the two original vectors is part of this triangle, and the law of cosines formula \(c^{2}=a^{2}+b^{2}-2ab\cos C\) (where \(a\) and \(b\) are the magnitudes of the two vectors, \(C\) is the included angle, and \(c\) is the magnitude of the resultant vector) is applied.

Answer:

angle; cosines