Question

State and prove Triangle Law Of Vector addition
What is resolution of vectors drive an expression for it.
​

Answer 1

Triangle law of vector addition states that when two vectors are represented as two sides of the triangle with the order of magnitude and direction, then the third side of the triangle represents the magnitude and direction of the resultant vector.

Triangle Law of Vector Addition

To obtain R⃗ which is the resultant of the sum of vectors A⃗ and B⃗ with the same order of magnitude and direction as shown in the figure, we use the following rule:

R⃗ =A⃗ +B⃗

There are a few conditions that are applicable for any vector addition, they are:

Scalars and vectors can never be added.

For any two scalars to be added, they must be of the same nature. Example, mass should be added with mass and not with time.

For any two vectors to be added, they must be of the same nature. Example, velocity should be added with velocity and not with force.

There are two laws of vector addition, they are:

Triangle law of vector addition

Parallelogram law of vector addition

Answer 2

Explanation:

Triangle law of vector addition