Question

Explain vector addition obeys commutative law with digramatical representation. (Photo if possible)

Answer 1

Answer:

Mathematics Law of Vector Addition-Triangle Law of Vector Addition:

Let’s discuss the triangle law of vector addition in law of vector addition pdf .Suppose, we have two vectors namely A and B as shown.

Now the method to add these two vectors is very simple, what we need to do is to simply place the head of one vector over the tail of the other vector as shown in the figure below.

Now after this, we need to join the other end points of both the vectors together as shown below,

The resultant of the given vectors (A and B)is given by a vector C which represents the sum of vectors A and B that is, C=A+B

From Law of vector addition pdf ,vector addition is commutative in nature i.e.

If C=A+B ; then we can write C=B+A

Similarly if we need to subtract both the vectors using the triangle law then we simply reverse the direction of any vector and then add it to another one as shown below.

(Image to be added soon)

Now we can mathematically represent this as , C = A – B (as they are in opposite directions). This is the Triangle Law of Vector Addition.