Objective

We are going to verify the vector property. c⃗ x (a⃗+b⃗)= I c⃗ x a⃗ I + I c⃗ x b⃗ I.

Pre-requisite Knowledge

• What are Vectors?
• Formula of area of a parallelogram
• Parallelogram Law of Addition of Vectors:
• Triangle Law of Addition of Vectors:

What are Vectors?

A vector is a Latin word that means carrier. Vectors carry information from point A to point B. The length of the line between the two points A and B is called the magnitude of the vector, and the direction of the The displacement of point A from point B is called the direction of the vector AB. Vectors are also called Euclidean vectors or spatial vectors. Vectors have many applications in math, physics, computer science, engineering, and various other fields.

Formula of area of a parallelogram

The area of a parallelogram is the base times the height. The area of a parallelogram is A = b x h.

vector a

Parallelogram Law of Addition of Vectors:

The law states that if two sides of a triangle AB & BC with P and Q as magnitudes represent the two vectors acting simultaneously on a body in the same order, then the third side AC WITH R as magnitude of the triangle represents the resultant vector R = P + Q.

Parallelogram ABCD

Triangle Law of Addition of Vectors:

The law states that if two co-initial vectors A and B act simultaneously, represented by the two adjacent sides AB & AD of a parallelogram ABCD, then the diagonal of the parallelogram AC represents the sum of the two vectors A and B. That is, the resultant vector starts from the same initial point.

Triangle Law