Vectors carry size and direction. This course adds and resolves vectors and uses the dot and cross products for angles, projections and areas.
The course follows the NCERT Class 12 Mathematics chapter Vector Algebra and has 2 lessons. Each lesson explains the ideas with worked examples and ends with practice questions and full answers. The numbers in every example and question are our own, so the lessons can be used alongside the textbook exercises.
- Vectors, Components and the Section Formula — Types of vectors, addition, scalar multiples, components, direction cosines, collinearity and the section formula.
- Scalar and Vector Products, with Mixed Practice — Dot product, angle and projection, cross product and area, and mixed practice.
By the end you will be able to:
- Write vectors in component form and find magnitudes.
- Use the section formula and test collinearity.
- Find angles and projections with the dot product.
- Find perpendicular vectors and areas with the cross product.