It's about vectors.

1. VECTORS

2. VECTORS
• Vectors are quantities with magnitude and direction which are
represented by lines.

3. VECTORS
• Vectors are quantities with magnitude and direction which are
represented by lines.

4. VECTORS
• Direction of (2D) vectors are determined using the cardinal
directions and angle measurements.

5. VECTORS
• Direction of (2D) vectors are determined using the cardinal
directions and angle measurements.
43° NE 78° SW 21° WN 66° ES

6. VECTOR ADDITION
• The main idea of adding vectors is the head-to-tail method.

7. VECTOR ADDITION
• In adding parallel or anti-parallel vectors, simple addition or
subtraction will do.

8. VECTOR ADDITION
• In adding perpendicular vectors, Pythagorean theorem and
trigonometry is used.

9. Example 1
Determine the magnitude and direction of the resultant below.

10. VECTOR ADDITION
• In general, vector addition is achieved by determining the
components of a vector.

11. VECTOR ADDITION
• In general, vector addition is achieved by determining the
components of a vector.

12. VECTOR ADDITION
1. Sketch the vectors.
2. Determine the components of each vector and use correct signs.
3. Complete the following table.
4. Use the Pythagorean theorem and trigonometry.

13. Example 2
Using the figure below, determine the resultant 𝐀 + 𝐁 :

14. Example 2
Using the figure below, determine the resultant 𝐀 + 𝐁 :

15. Example 2
Using the figure below, determine the resultant 𝐀 + 𝐁 :

16. Exercise
Using the figure below, determine the resultant of the following:
a) 𝐂 + 𝐃,
b) 𝐀 + 𝐂 + 𝐃,
c) 𝐀 + 𝐁 + 𝐃, and
d) 𝐀 + 𝐁 + 𝐂 + 𝐃.