May 1, 2024
3 minute read
Vector mathematics is a branch of mathematics that deals with vectors, which are mathematical objects that have both magnitude and direction. It is used in a wide variety of fields, including physics, engineering, computer graphics, and animation.
What is a Vector?
A vector is a mathematical object that has both magnitude and direction. Magnitude is the length of the vector, and direction is the angle that the vector makes with a specified reference direction.
Vector Operations
The most common vector operations are addition, subtraction, and scalar multiplication. Vector addition is simply the process of adding two vectors together. Vector subtraction is the process of subtracting one vector from another. Scalar multiplication is the process of multiplying a vector by a scalar, which is a real number.
Applications of Vector Mathematics
Vector mathematics is used in a wide variety of applications, including:
- Physics: Vector mathematics is used to describe the motion of objects, the forces that act on them, and the energy that they possess.
- Engineering: Vector mathematics is used to design and analyze structures, machines, and systems.
- Computer graphics: Vector mathematics is used to create 3D models and animations.
- Animation: Vector mathematics is used to create realistic animations of characters and objects.
Benefits of Learning Vector Mathematics
There are many benefits to learning vector mathematics, including:
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Find a path to becoming a Vector Mathematics. Learn more at:
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Reading list
We've selected 11 books
that we think will supplement your
learning. Use these to
develop background knowledge, enrich your coursework, and gain a
deeper understanding of the topics covered in
Vector Mathematics.
Provides a comprehensive introduction to vector calculus. It covers a wide range of topics, including vector algebra, differential calculus, and integral calculus.
Provides a comprehensive introduction to vector and tensor analysis for engineering and physics. It covers a wide range of topics, including vector algebra, tensor analysis, and applications in mechanics and electromagnetism.
Provides a comprehensive introduction to vector calculus. It covers a wide range of topics, including vector algebra, differential calculus, and integral calculus.
Provides a comprehensive introduction to vector and tensor analysis for engineering and physics. It covers a wide range of topics, including vector algebra, tensor analysis, and applications in mechanics and electromagnetism.
Provides a clear and concise introduction to vector calculus. It covers a wide range of topics, including vector algebra, differential calculus, and integral calculus.
Provides a comprehensive introduction to vector mechanics for engineers. It covers a wide range of topics, including statics, dynamics, and fluid mechanics.
Provides a clear and concise introduction to vectors and tensors for engineering and physics. It covers a wide range of topics, including vector algebra, tensor analysis, and applications in mechanics and electromagnetism.
Provides a clear and concise introduction to vector calculus, covering topics such as vector algebra, differentiation, and integration. It is suitable for students with a basic understanding of calculus.
Provides a practical introduction to vector mathematics for computer graphics. It covers topics such as vector algebra, transformations, and projections.
Provides a comprehensive overview of mathematics for games and interactive applications, including a chapter on vector mathematics.
While primarily a book about linear algebra, this book has a chapter on vector spaces, which covers many of the basic concepts of vector mathematics. The author highly respected mathematician.
For more information about how these books relate to this course, visit:
OpenCourser.com/topic/8vsiks/vector
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