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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What is a unit vector?
💡 Hint: Think about what 'unit' means!
Question 2
Easy
Write the unit vectors along the x, y, and z axes.
💡 Hint: Remember the names of the axes!
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 a unit vector?
- A vector with no direction
- A vector with a magnitude of one
- A vector in 3D space
- A vector only in 2D
💡 Hint: Focus on the definition of 'unit'!
Question 2
True or False: Unit vectors can only exist in two dimensions.
- True
- False
💡 Hint: Think about vector dimensions!
Solve 1 more question and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
A vector B = (3, -4) is given. Calculate the unit vector in the direction of this vector and the angles formed with the axes.
💡 Hint: Use trig functions for angles!
Question 2
Vector C = (1, 1, 1) needs to be expressed in terms of unit vectors along the axis. What does this look like?
💡 Hint: Make sure to normalize the vector!
Challenge and get performance evaluation