# (The First Part of this post is here)

## Vector Details with Diagram (Part 2)

Law of Parallelogram of vectors:

“If a particle simultaneously possesses two vectors represented in magnitudes and direction by the two adjacent sides of a parallelogram drawn from a point, their resultant is represented in magnitude and direction by the diagonal of the parallelogram passing through that point.”

Resultant:

origin O with angle α, R is the resultant acting along OB with an angle P from B. The perpendicular BN is drawn on Produce OA. Therefore, form the right angled triangle OBN, We get, OB= ON2+ BN2 Or, OB= (OA+AN)+BN2 Or, OB= OA+2OA .AN+AN+BN2 Or, OB= OA+(AN+BN2)+2OA .AN

Direction Resultant:

angle triangle, OBN, we get,

No. (1) equation is resultant of the vector and No (2) equation is Direction of the resultant.

## Vector Details with Diagram (Part 2)

The maximum and minimum magnitude of the resultant of two vectors acting at a point is equal to the sum and difference of their magnitude Or The resultant of two vectors acting at a point at same time can never be greater than to their sum and can never smaller than to their subtraction.

Let the two vectors are P and Q and the angle between them is α. Therefore, the law of parallelogram, we know,

So that the maximum and minimum magnitude of the resultant of two vectors acting at a point is equal to the sum and difference of their magnitude, Or The resultant of two vectors acting at a point at same time can never be greater than to their sum and can never smaller than to their subtraction.

### Vector Details with Diagram (Part 2)

Law of Triangle of vector:

“If a body simultaneously possesses three vectors represented in magnitudes and directions by the sides of a triangle taken in order, the resultant is zero i.e. the body remains at rest. “Let P Q and R be represented by the three sides of triangle AB , BC and CA respectively. According to vector addition,