Learning Objectives:

__Math Tutoring on Vector and Vector Application __

Measurements involving time, length, area, volume, temperature and energy are called **Scalar Measurements** or **Scalar Quantities** because they can be adequately described by their magnitude alone with the appropriate units. The related number is called a **Scalar**.

Measurements that require more than a single quantity to describe their attributes are called **Vector Quantities**. Examples of **Vector Quantiti**es are Force and Velocity. These require both **Magnitude and Direction** to completely describe.

In Math Tutoring, a directed line segment is used to represent a vector quantity or vector like following:

· The length of the vector models the magnitude.

· The arrowhead models the direction.

· The origin of the segment is called the **Initial Point**.

· The arrowhead points to the **Terminal Point**.

A **Velocity Vector**: 50 mph

**A** **B**

**Vectors** are Equal if they have the same magnitude and the same direction.

The sum of two or more vectors is called the **Resultant of the Vectors**. To add vectors we can use the **Triangular Method** and the **Parallelogram method**.

Vectors have numerous nos. of applications. One of the important application is to determine the relative speed of an airplane relative to the ground and flying angle if there is a wind direction. It can be solved by the help of Law of Sines and Cosines.

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**Hook Question:**

*1. **What is a Vector Quantity? How it differs from Scalar Quantity?*

*2. **How is a Vector Quantity described? *

*3. **What is the Resultant of the Vectors? *

*4. **Describe Triangular Method to obtain Resultant of the Vectors. *

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