Lecture 3 0f 8 Topic 5: VECTORS 5.3 Scalar Product.

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Presentation transcript:

Lecture 3 0f 8 Topic 5: VECTORS 5.3 Scalar Product

Learning Outcomes define the scalar product ( dot product) in the form of (b) find the angle between two vectors (c) understand the properties of scalar product, parallel and perpendicular vectors.

The Scalar Product (Dot Product)

The Angle Between Two Vectors

Example 1

Solution

Algebraic Properties of the Scalar Product

NOTE : O B A 1800 O B A

O O

Example 2 Solution

Example 3 Determine which pair of the vectors are parallel :

Solution

Example 4 Solution

Squaring both sides and then simplify the equation :

The Scalar Product (Or Dot Product) CONCLUSION The Scalar Product (Or Dot Product)

Algebraic Properties of the Scalar Product