- #1

Trying2Learn

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- TL;DR Summary
- An exaplanation that lives between simple engineering and abstract math.

Good Morning

(And apologies if this is not the right forum -- it is not a homework problem.)

On the one hand, a vector is an arrow and a tail: it has magnitude and direction. It is used to describe direction, forces, acceleration, etc.

However, there are more mathematical definitions: a member of a space equipped with a bilinear product that has a basis from which all vectors can be defined. etc.

Can anyone suggest (this is for my nephew) a source (hopefully online) that provides a description of a vector that rises above the simple "arrow with a head and tail," (ie.: direction and magnitude) yet motivates the student to want to learn more about what they are (e.g: they have a basis which can be used to describe all elements, etc.)

I do not need much. I just want to get him to see that more is going on here. He is a senior in high school with perfect grades (so he learns fast).

(And apologies if this is not the right forum -- it is not a homework problem.)

On the one hand, a vector is an arrow and a tail: it has magnitude and direction. It is used to describe direction, forces, acceleration, etc.

However, there are more mathematical definitions: a member of a space equipped with a bilinear product that has a basis from which all vectors can be defined. etc.

Can anyone suggest (this is for my nephew) a source (hopefully online) that provides a description of a vector that rises above the simple "arrow with a head and tail," (ie.: direction and magnitude) yet motivates the student to want to learn more about what they are (e.g: they have a basis which can be used to describe all elements, etc.)

I do not need much. I just want to get him to see that more is going on here. He is a senior in high school with perfect grades (so he learns fast).