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This post categorized under Vector and posted on October 4th, 2018.

A variety of mathematical operations can be performed with and upon vectors. One such operation is the addition of vectors. Two vectors can be added together to determine the result (or resultant).Resultant of Forces (Addition of Vectors) This app deals with forces exerted on a body (assumed as point-sized). You can vary the number of single forces by using the choice box at the ride side.Operation on Vector Vector operation such as Addition Subtraction Multiplication etc. can be done easily. 1. Addition of Vectors-The two vectors a and b can be added giving the sum to be a b.

Figure 3.2.1. In theory any two vectors can be added by this method. It should be evident that this method is not limited to two vectors. To add more than 2 vectors just continue the diagram starting the third vector where the second ends the fourth at the end of the third and so on.In the below left diagram we see 3 vectors with their associated magnitudes and angles. In order to add these we always must connect vectors head to tail and the resultant vector (which represents the vector sum) is drawn from the tail of the first vector to the head of the last vector The order in which we add vectors does not matter the sum q p is precisely the same vector as the sum p q. It turns out also that the sums (p q) r and p (q r) are equal. Thus addition of vectors is commutative and associative. (We omit the proof.) Finally we can define subtraction of vectors in terms of addition and scalar multiplication.

Adding 3-dimensional Vectors. Earlier we saw how to add 2-dimensional vectors. We now extend the idea for 3-dimensional vectors. We simply add the i components together then the j components and finally the k components.

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