Why Do α and ω Lack Vector Signs in My Professor's Derivation?

In summary, vector notation is a mathematical language used to represent physical quantities with magnitude and direction. It is typically written using a boldface letter and an arrow to indicate direction. The main difference between a vector and a scalar is that a vector has both magnitude and direction, while a scalar only has magnitude. The purpose of vector notation is to provide a concise and standardized way to describe physical quantities, making it easier to perform calculations and understand the motion and forces of objects. It is commonly used in real-world applications such as navigation systems, computer graphics, and mechanics, as well as in physics and engineering to analyze and solve problems related to motion and forces.
  • #1
jumbogala
423
4

Homework Statement


My prof has written out a derivation which says:

[tex]\vec{a_{t}}[/tex] = α x [tex]\vec{r}[/tex]

Why does everything except α have a vector sign on it? I think α should be a vector here too...

By the way, he also derived dv/dt = ω, and v had a vector symbol but ω did not. Is that right or should ω be a vector?


Homework Equations




The Attempt at a Solution

 
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  • #2
Hi jumbogala! :smile:

You're right, he's wrong! :rolleyes: :biggrin:

(there's probably some psychological reason for it! :wink:)

Yes, α and ω are definitely vectors, exactly like a and r. :smile:
 

FAQ: Why Do α and ω Lack Vector Signs in My Professor's Derivation?

What is vector notation?

Vector notation is a mathematical language used to represent physical quantities that have both magnitude and direction. It is commonly used in physics and engineering to describe the movement and forces of objects.

How is vector notation written?

Vector notation is typically written using a boldface letter, such as v, with an arrow above it, indicating its direction. The length of the arrow represents the magnitude of the vector.

What is the difference between a vector and a scalar?

A vector has both magnitude and direction, while a scalar only has magnitude. For example, velocity is a vector quantity because it has both speed (magnitude) and direction, while temperature is a scalar quantity because it only has magnitude.

What is the purpose of using vector notation?

Vector notation allows for a concise and standardized way to describe physical quantities, making it easier to perform calculations and understand the motion and forces of objects in a specific direction.

How is vector notation used in real-world applications?

Vector notation is used in many real-world applications, such as navigation systems, computer graphics, and mechanics. It is also used in physics and engineering to analyze and solve problems related to motion and forces.

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