Practice Unit Vector - 5.3.2 | 5. Vectors | ICSE 12 Mathematics | Allrounder.ai
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Unit Vector

5.3.2 - Unit Vector

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Learning

Practice Questions

Test your understanding with targeted questions

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!

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

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!

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

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!

Challenge 2 Hard

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!

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