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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Define a vector in your own words.
💡 Hint: Think about what makes vectors different from scalars.
Question 2
Easy
What does the length of a vector represent?
💡 Hint: Consider what is visualized by the vector's arrow.
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 a vector always have?
- Magnitude only
- Direction only
- Both magnitude and direction
💡 Hint: Think about the definition of vectors.
Question 2
The component form of a vector \( \vec{A} \) in 2D is given as \( \vec{A} = A_x \hat{i} + A_y \hat{j} \). Is this statement true or false?
- True
- False
💡 Hint: Refer back to the section on algebraic representation.
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given two vectors \( \vec{A} = 4 \hat{i} - 3 \hat{j} \) and \( \vec{B} = -2 \hat{i} + 5 \hat{j} \), calculate the result of \( \vec{A} + \vec{B} \) and \( \vec{A} - \vec{B} \).
💡 Hint: Add and subtract the respective components.
Question 2
Using the vectors \( \vec{A} = 6 \hat{i} + 2 \hat{j} \) and \( \vec{B} = 4 \hat{i} + 3 \hat{j} \), find the angle between them using the dot product.
💡 Hint: To find the angle use the arccosine function on the result from the dot product.
Challenge and get performance evaluation