Question

Prove that, Associated property using triangle
law of vector addition​

Answer 1

Explanation:

COMMUTATIVE LAW

OF

VECTOR ADDITION

Consider two vectors and . Let these two vectors represent two adjacent sides of a parallelogram. We construct a parallelogram

OACB as shown in the diagram. The diagonal OC represents the resultant vector

From above figure it is clear that:

This fact is referred to as the commutative law of vectr addition .

ASSOCIATIVE LAW

OF

VECTOR ADDITION

The law states that the sum of vectors remains same irrespective of their order or grouping in which they are arranged.

Consider three vectors , and

Applying "head to tail rule" to obtain the resultant of (+ ) and (+ )

Then finally again find the resultant of these three vectors :

This fact is known as the ASSOCIATIVE LAW OF VECTOR ADDITION.

Answer 2

Explanation:

Triangle law of vector addition is one of the vector addition laws. Vector addition is defined as the geometrical sum of two or more vectors as they do not follow regular laws of algebra. The resultant vector is known as the composition of a vector.