**By Banesh Hoffmann, Vectors Math Is Fun Vectors This is a vector A vector has magnitude size and direction The length of the line shows its magnitude and the arrowhead points in the direction We can add two vectors Vectors, All about Vectors Math Vectors A vector is a mathematical object that has magnitude and direction With other words it is a line of given length and pointing along a given direction. vector Definition, Physics, Facts Britannica Vector, in physics, a quantity that has both magnitude and direction It is typically represented by an arrow whose direction is the same as that of the quantity and whose length is proportional to the quantity s magnitude Although a vector has magnitude and direction, it does not have position. An introduction to vectors Math Insight Two vectors are the same if they have the same magnitude and direction This means that if we take a vector and translate it to a new position without rotating it , then the vector we obtain at the end of this process is the same vector we had in the beginning Two examples of vectors are those that represent force and velocity. About Vectors by Banesh Hoffmann No calculus needed, but this is not an elementary book Introduces vectors, algebraic notation and basic ideas, vector algebra and scalars Covers areas of parallelograms, triple products, moments, angular velocity, areas and vectorial addition, and . Vectors Introduction Aug , Why Study Vectors You use vectors in almost every activity you do A vector is a quantity that has size and direction The fancy word for size is magnitude Examples of everyday activities that involve vectors include Breathing your diaphragm muscles exert a force that has a magnitude and direction**

__About Vectors__

No calculus needed, but this is not an elementary book Introduces vectors, algebraic notation and basic ideas, vector algebra and scalars Covers areas of parallelograms, triple products, moments, angular velocity, areas and vectorial addition, and Concludes with discussion of tensors Includes 386 exercises.

Here is how this book ends Quite a thrilling conclusion if you ask me 10 WHAT THEN IS A VECTOR This being a book about vectors, we have presented only the sketchiest account of tensors barely enough to illustrate the advantages of thinking of vectors in terms of the way their components transform We have one final point to make Notice that we defined contravariant vectors and covariant vectors indeed, tensors of all ranks before we introduced the metrical tensor Suppose there were no metrical te [...]