Dot product
All in One PlaceEverything you need for JC, LC, and college level maths and science classes. | Learn with EaseWe’ve mastered the national curriculum so that you can revise with confidence. | Instant Help24/7 access to the best tips, walkthroughs, and practice exercises available. |
Make math click 🤔 and get better grades! 💯Join for Free
0/3
Intros
Lessons
- Dot Product Overview:
- Dot Product and its Special Property
- Multiplying the corresponding entries, and adding
- Dot product = 0 vectors are perpendicular
- Application to Dot Product
- What is scalar projection? Vector projection
- Formula for scalar projection:
- Formula for vector projection
- More Properties of Dot Product
- Order
- Length
- Distribution
- Scalar
0/6
Examples
Lessons
- Using the Dot Product
Find the dot product of and . - Find the dot product of and .
- Using the Dot Product Property
Suppose two vectors and are perpendicular. Find . - Finding Scalar and Vector Projections
Find the scalar and vector projection of onto if , and . - Verifying Properties of Dot Product
Use the two vectors and to show that: - Use the 3 vectors , , and to show that: