TED-Ed: What is a vector? - David Huynh

What is a scalar?

• A quantity with both magnitude and direction

• A quantity with magnitude only

• A quantity that changes with perspective

• A quantity with direction only

Why are vectors considered invariant to coordinate systems?

• Because they remain the same regardless of the coordinate system

• Because they have only magnitude

• Because they are not used in mathematics

• Because they change based on perspective

How can vectors be represented mathematically?

• As an array with a coordinate basis

• As a sequence of letters

• As a single number

• As a random set of numbers

What is a tensor?

• A type of scalar

• A vector with no direction

• A quantity that can convey more information than vectors

• A mathematical error

In which fields are tensors used?

• Only in brain imaging

• Exclusively in car designs

• Only in mathematics

• In video game design, scientific simulations, and more