Smart Triangle Law Of Vector Subtraction

When two vectors which are to be added taken in order are represented in direction and magnitude by two sides of a triangle then the third side taken in opposite order represents the resultant completely ie.

Triangle law of vector subtraction. Triangle Law of Vector AdditionBy the Triangle Law of Vector Addition. The third side of the triangle gives the magnitude and direction of ab vector. Triangle and Parallelogram Law of Vectors.

To subtract one vector from another for example to get A B simply form the vector B which is the scalar multiple 1 B and add it to A ie. This method of addition of two vectors is called Triangle law of addition of vectors. Triangle Law of Vector Addition.

The North and South displacements are each vector quantities and the opposite directions cause the individual displacements to cancel each other out. For example the difference of two vectors may be equal to the addition of two vectors in magnitude. Image to be added soon 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.

Substituting the values of AC and BC in. If two vectors be represented in magnitude and direction by the two adjacent sides of a parallelogram then their sum will be represented by the diagonal through the co-initial point. Ii Parallelogram law of addition of vectors.

If two vectors are represented in magnitude and direction by the two sides of a triangle taken in the same order then their resultant in represented in magnitude and direction by the third side of the triangle taken in opposite order Consider two vectors and Below Figure acting simultaneously on. Then draw the resultant from the initial point of the first vector to the terminal point of the last vector. AB BC AC a b cWhenc a bthe vector c is said to be the RESULTANT of the two vectors a and b.

Since in this procedure of vector addition vector addition vectors are arranged head to tail this graphical method is called the head to tail methodThe two vectors and their resultant form three sides of a triangle so this method is also known as triangle method of vector additionIf we find the resultant of B A as shown Fig 22c the same vector R is obtained. Vector Analytical Treatment Triangle Law Parallelogram Law Vector Subtraction Physics in Odia Vectors Class XI Vectors 11th Vectors Physics by Prad. Since force is a vector a vector divided by scalar also gives a vector.