Vectors and scalars 1, Lecture notes of Mathematical Physics

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Vectors and Scalars

Anna Marie Benzon

What is Physics? predicts how nature will behave in one situation based on the results of experimental data.

The first step in ensuring accuracy and reproducibility is defining the units in which the measurements are made.

Physical Quantities

Scalar Quantities

• (^) quantity is one that can be described by a single number (magnitude only) Examples: temperature, speed, mass Vector Quantities
• deals inherently with both magnitude and direction.
• Vector notation: Examples: velocity, force, displacement

A

Parallel vectors Anti-parallel vectors

Vector Sum or Resultant Commutative property

Subtracting vectors A (^) B and

Magnitude and direction of a vector

2.00 m

6.00 m

2.00 m

6.00 m

R

    2 2 2

R  2. 00 m  6. 00 m

 2. 00 m  6. 00 m 6. 32 m 2 2

R   

A A A.

A A

A

x y

and add together vectoriall yso that   vectors and that are parallel to the and axes, The vector components of are two perpendicu lar x y x y

Component Method