# Vectors and resultant of forces notes

> CAPS-aligned study notes for Vectors and resultant of forces in Grade 11 Technical Sciences. Browse the sections below for explanations, worked examples and exam preparation.

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## Sections in Vectors and resultant of forces

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- [Theorem of Pythagoras and perpendicular vectors](https://www.hlayiso.com/grade-11/technical-sciences/notes/vectors-and-resultant-of-forces/theorem-of-pythagoras-and-perpendicular-vectors) — Theorem of Pythagoras and Perpendicular Vectors When two forces act perpendicular to each other (at $90°$), neither the simple addition nor subtraction of their magnitudes gives the correct…
- [Co-linear and co-planar vectors](https://www.hlayiso.com/grade-11/technical-sciences/notes/vectors-and-resultant-of-forces/co-linear-and-co-planar-vectors) — Co-linear and Co-planar Vectors Before you can combine forces, you need to identify how they are arranged. Forces that act along the same line behave very differently from forces that act in a…
- [Resultant vectors: head-to-tail and parallelogram methods](https://www.hlayiso.com/grade-11/technical-sciences/notes/vectors-and-resultant-of-forces/resultant-vectors-head-to-tail-and-parallelogram-methods) — Resultant Using Head-to-Tail and Parallelogram Methods When two or more forces act at angles to each other (not along the same line), you need a graphical method to find the resultant. The two…

## Other Technical Sciences topics

- [Introduction to mechanics and sign conventions](https://www.hlayiso.com/grade-11/technical-sciences/notes/introduction-to-mechanics-and-sign-conventions)
- [Resolution of forces and friction](https://www.hlayiso.com/grade-11/technical-sciences/notes/resolution-of-forces-and-friction)
- [Magnets and the magnetic field](https://www.hlayiso.com/grade-11/technical-sciences/notes/magnets-and-the-magnetic-field)
- [Pulses and waves](https://www.hlayiso.com/grade-11/technical-sciences/notes/pulses-and-waves)
- [Sound waves](https://www.hlayiso.com/grade-11/technical-sciences/notes/sound-waves)
- [Electrostatics](https://www.hlayiso.com/grade-11/technical-sciences/notes/electrostatics)
- [Electric circuits](https://www.hlayiso.com/grade-11/technical-sciences/notes/electric-circuits)
- [Ohm's law and circuit calculations](https://www.hlayiso.com/grade-11/technical-sciences/notes/ohms-law-and-circuit-calculations)
- [Heat and specific heat capacity](https://www.hlayiso.com/grade-11/technical-sciences/notes/heat-and-specific-heat-capacity)
- [Thermodynamics](https://www.hlayiso.com/grade-11/technical-sciences/notes/thermodynamics)
- [Classification of matter](https://www.hlayiso.com/grade-11/technical-sciences/notes/classification-of-matter)
- [Oxidation and reduction](https://www.hlayiso.com/grade-11/technical-sciences/notes/oxidation-and-reduction)

## Frequently asked questions

### What is covered in Vectors and resultant of forces for Grade 11 Technical Sciences?

The Vectors and resultant of forces section covers all key concepts from the Grade 11 Technical Sciences CAPS curriculum, including detailed explanations, worked examples, and exam preparation tips.

### Are the Vectors and resultant of forces notes free?

Yes. Each section has a free preview, and a free Hlayiso account lets you read the full notes.

### How do these notes help with exam preparation?

Our Vectors and resultant of forces notes are CAPS-aligned and include worked examples, common mistakes to avoid, and exam tips — everything you need to prepare for your Grade 11 Technical Sciences exams.

### Are there quizzes for Vectors and resultant of forces?

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