Vectors
PHYS 110 · Module 3
This module introduces vectors as quantities with magnitude and direction. Students learn vector components, addition, scalar multiplication, dot products, and cross products as essential tools for mechanics and fields.
Lessons in this module
Vectors in 2D and 3D
Vectors represent quantities with both size and direction. This lesson introduces vector notation, components, unit vectors, magnitude, and physical examples.
Vector addition and scalar multiplication
Vectors can be added, subtracted, and scaled. This lesson explains graphical and component methods for combining vectors in physics.
The dot product
The dot product combines two vectors to produce a scalar. This lesson explains projection, angle relationships, work, and physical meaning.
The cross product
The cross product combines two vectors to produce a new vector perpendicular to both. This lesson introduces magnitude, direction, the right-hand rule, torque, and rotational applications.
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