Define the triangles law of vector addition. Deduce the value of resultant by using this law
Answers
Triangle law of vector addition states that when two vectors are represented by two sides of a triangle in magnitude and direction taken in same order then third side of that triangle represents in magnitude and direction the resultant of the vectors.
Lets understand first, what is a vector?
Vector is a quantity 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 vector is velocity (v), where we have to provide the direction as well as the magnitude.
Now once, you know that vector cannot be defined without direction, the addition of two vectors or resultant of addition of two vectors is fairly easy to understand.
Two vectors with same magnitude and opposite direction will cancel each other i.e their resultant will be zero whereas if they are in the same direction their resultant will be sum of their magnitude.
Once, you understand this, the triangle law of vector addition becomes easy to comprehend.
Triangle law of vector addition states that when two vectors are represented by two sides of a triangle in magnitude and direction taken in same order then third side of that triangle represents in magnitude and direction the resultant of the vectors.
This simply means that, if you have a two vectors that represents the two sides of the triangle then the third side of that triangle will represent their resultant.