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Resolution Of Vectors Using Triangle Law

This post categorized under Vector and posted on June 20th, 2019.
Appendix D Answers About Vectors More: Resolution Of Vectors Using Triangle Law

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Consider two vectors P and Q acting on a body and represented both in magnitude and direction by sides OA and AB respectively of a triangle OAB. Let be the angle between P and Q . Let R be the resultant of vectors P and Q .Trigonometric Method of Vector Resolution. The trigonometric method of vector resolution involves using trigonometric functions to determine the components of the vector.The resultant of two or more vectors is that single vector which alone produces the same effect as that produced by the two individual vectors. Three laws have been evolved for the addition of vectors Triangle law of vectors for addition of two vectors. Parallelogram law of vectors for addition of two vectors. Polygon law of vectors for addition of more than two vectors.

Vector addition is commutative in nature i.e. if C A B then C B A. Similarly if we have to subtract both the vectors using the triangle law then we simply reverse the direction of any vector and add it to other one as shown. Now we can mathematically represent this as C A B. Parallelogram Law of Vector Addition This law is also very similar to triangle law of vector addition. Consider the two When you add two vectors it is like you are moving one vector to the end of the other vector and closing off the triangle with a vector for the third side. That third vector is the addition of The vector triangle ilvectorrates the dot product of two vectors represented as sides of a triangle and the enclosed angle. This can be calculated using the law of cosines.


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