EXERCISE 2 | VECTOR ADDITION

Scalar quantities

quantities that has magnitude and magnitude only.

• Distance

• speed

• energy

Vector quantities

quantities with magnitude and direction. This can be expressed in

terms of the notation or the magnitude-angle notation.

• Displacement

• Velocity

• Acceleration

• Force

Analytical method

theoretical method of adding vectors. It involves decomposing the vector to its

components, and adding them component-wise.

Graphical method

- method of adding vectors by drawing the vectors graphically with accurate magnitude

and direction.

Parallelogram method

1. Draw the vectors with the tails situated at a common point.

2. Create a parallelogram with dimensions formed by the two vectors.

3. Measure the resultant vector formed by drawing a vector from the initial common

point to the opposite side.

Polygon method

another form of graphical method, more convenient in adding 3 or

more vectors.

1. Draw the first vector.

2. The head of the first vector will serve as your “new” starting point in drawing the

second vector. Attach the tail of the second vector to the head of the first vector.

3. Do this for the succeeding vectors.

4. The resultant is measured by drawing the vector formed by the initial starting

point to the head of the final vector.

Parallelogram Mehtod and Polygon Method

types of graphical method

Force table

– can be used to add vectors by hanging the masses and then later finding the

equilibrant force.

equilibrant force

The sum of the three vecto rs generated by the hanging masses, is equal to the negative of the******** .