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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is a 3D vector and how is it represented?
💡 Hint: Think about how vectors are defined in lower dimensions.
Question 2
Easy
Calculate the resultant vector for A = i + 2j + 3k and B = 2i + j + k.
💡 Hint: Add the components from each vector together.
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 does the dot product of two vectors result in?
- A vector
- A scalar
- Neither
💡 Hint: Recall the definition of dot product.
Question 2
In 3D vector representation, what do the letters i, j, k signify?
- They are scalars
- They are unit vectors
- They are angles
💡 Hint: Think about what unit vectors indicate in space.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given A = 3i + j + 2k and B = -2i + 4j + k, find both A + B and A × B.
💡 Hint: Utilize vector addition for A + B, and the determinant method for A × B.
Question 2
Show that the vectors A = 2i + 2j + 2k and B = 4i + 4j + 4k are parallel. What is their angle?
💡 Hint: Compare components to determine parallelism.
Challenge and get performance evaluation