2 - Mathematical operations with vectors
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Practice Questions
Test your understanding with targeted questions
Calculate the dot product of vectors a = [1, 2, 3] and b = [4, 5, 6].
💡 Hint: Multiply corresponding components and add them.
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.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the result of the dot product of two vectors?
💡 Hint: Remember to consider the properties of scalar vs. vector.
True or False: The cross product of two vectors is always orthogonal to the plane containing them.
💡 Hint: Think of how vectors interact in three-dimensional space.
1 more question available
Challenge Problems
Push your limits with advanced challenges
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.
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.
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