# Triangle Vector Subtraction

This post categorized under Vector and posted on November 5th, 2019.

The easy and quick concept of vector addition is explained in this graphic. I will also tell you in this graphic about 1) Vectors Addition triangle and parallelogram rules Physics 2) Triangle This graphic shows you how to add and subtract vectors graphically which may be useful in your calculus and physics course. Two methods are described in this graphic the head to tail method or the Vector Subtraction Complete the parallelogram. Draw the diagonals of the parallelogram from the initial point. Triangle Method Draw the vectors one after another placing the initial point of each successive vector at the terminal point of the previous vector. Then draw the resultant from the initial point of the first vector to the terminal

Lets understand first what is a vector Vector is a quangraphicy which has both magnitude and direction. You can not define a vector without giving the magnitude direction is very important when it comes to vectors and their additions. Example of ve Using position vector notation the triangle rule of addition is written as follows for any three points X Y Z Both the triangle and the parallelogram rules of addition are procedures that are independent of the order of the vectors that is using either rule it is always true that u v v u for all vectors u and v. 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. Then according to triangle law of vector addition side OB represents the resultant of P and Q. So we have

6.2 Addition and Subtraction of Geometric Vectors 2010 Iulia & Teodoru Gugoiu - Page 1 of 4 6.2 Addition and Subtraction of Geometric Vectors A Addition of two Vectors The vector addition s r of two vectors a r and b r is denoted by a b r r and is called the sum or resultant of the two vectors. So s a b r r r B Triangle Rule (Tail to 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 vectors again. The reverse triangle inequality is an elementary consequence of the triangle inequality that gives lower bounds instead of upper bounds. For plane geometry the statement is Any side of a triangle is greater than the difference between the other two sides. In the case of a normed vector graphice the statement is I dont know if you find that fact intuitive or not but it is just a restatement of the fact that the sum of two sides of a triangle is always greater (or equal to) the third side which is the triangle inequality itself.

## Triangle Vector Subtraction

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