Vectors – 3D Geometry and Vector Calculus

Add a dimension to your knowledge and learn to answer important questions about 3D objects in the real world!

Locations: Woodside

Cost: $130/hr.

Recommended hours: 9-18


  • Learn about vectors and 3D geometry
  • Visualize and construct parametric vector functions to describe real world motion
  • Answer interesting applied geometry problems using vectors
  • Do calculus on vectors to answer even more interest questions!

To Enroll Call (650) 331-3251 


Course Description:

Most high school courses focus on two-dimensional geometry, leaving students unable to answer questions about the three-dimensional world around them. Fortunately, it’s relatively easy to generalize geometry and algebra to higher dimensions using vectors!

In this course, students will explore the geometry and algebra of vectors in both two and three dimensions. Students will learn to find the equations of curves, planes, and their possible intersections, and to parameterize them in useful ways. Students will soon be able to answer interesting questions, like “What is the bond angle in a tetrahedral molecule?” and “How much leather does it take to make a soccer ball?”

Students familiar with calculus can also explore more advanced topics, such as derivatives and applications of vector valued functions, directional derivatives of scalar functions, multiple integrals, path and surface integrals, gradient vectors, divergence, curl and Green’s theorem, and Gauss’s law. Knowledge of calculus is not required for this course, although we recommend students have at least two years of high school-level math.

Make the Most of the Summer!

Students who stay actively engaged in the learning process during the summer perform better during the school year.

Contact AJ Tutoring to Enroll in Summer Tutoring
Peninsula Main Phone Number (650) 331-3251
Free Consultation