26.12 - Inner Product Spaces
Enroll to start learning
You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.
Practice Questions
Test your understanding with targeted questions
Define an inner product space.
💡 Hint: Think about the properties that define how vectors interact.
What does orthogonal mean?
💡 Hint: This is related to angles between vectors.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is an inner product space?
💡 Hint: Think about the components of an inner product.
True or False: The inner product of two orthogonal vectors is always zero.
💡 Hint: Consider what orthogonal means.
Get performance evaluation
Challenge Problems
Push your limits with advanced challenges
Given vectors A = (1, 2, 3) and B = (4, -1, 2), calculate their inner product and determine if they are orthogonal.
💡 Hint: Remember the definition of the inner product.
For vectors X = (0, 0) and Y = (2, 3), confirm if they are orthogonal using the inner product.
💡 Hint: Evaluate the vector components directly.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.