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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Calculate the dot product of vectors a = [1, 2, 3] and b = [4, 5, 6].
💡 Hint: Multiply corresponding components and add them.
Question 2
Easy
What is the cross product of vectors a = [1, 0, 0] and b = [0, 1, 0]?
💡 Hint: Think of the right-hand rule for direction.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What is the result of the dot product of two vectors?
- A vector
- A scalar
- A matrix
💡 Hint: Remember to consider the properties of scalar vs. vector.
Question 2
True or False: The cross product of two vectors is always orthogonal to the plane containing them.
- True
- False
💡 Hint: Think of how vectors interact in three-dimensional space.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given vectors a = [3, 4] and b = [4, -3], calculate their dot product and interpret the result geometrically.
💡 Hint: Visualize the vectors on a graph.
Question 2
Using a = [1, 2, 3] and b = [4, 5, 6], compute the tensor product and describe its significance.
💡 Hint: Focus on how each element in the result relates to each combination of inputs.
Challenge and get performance evaluation