Scalar multiplication involves multiplying a vector by a scalar, resulting in a new vector that is scaled in magnitude but retains the same direction unless the scalar is negative, which reverses the direction. This operation is fundamental in linear algebra and is used to scale vectors in various applications, such as physics and computer graphics.

Scalar Multiplication

Scalar multiplication

multiplying a vector

new vector

scaled in magnitude

same direction

Negative scalar

reverses the direction

Linear algebra is a branch of mathematics that deals with vector spaces and linear mappings between these spaces, focusing on the study of lines, planes, and subspaces. It is fundamental in various scientific fields, providing tools for solving systems of linear equations, performing transformations, and analyzing vector spaces and matrices.

linear algebra

scale vectors

Physics is the fundamental science that seeks to understand the nature and behavior of matter and energy in the universe, covering phenomena from the smallest subatomic particles to the largest cosmic structures. It provides the foundational principles that underpin other sciences and technologies, offering insights into the laws governing the physical world and enabling advancements in various fields.

physics

Computer graphics is the field of computer science that focuses on generating and manipulating visual content using computational techniques. It encompasses a range of applications from video games and simulations to user interface design and virtual reality, relying on both hardware and software to render and display images efficiently.

Relevant Degrees

Your Lessons