Practice Definition of a Vector - 5.2 | Chapter 5: Vectors | ICSE Class 12 Mathematics
K12 Students

Academics

AI-Powered learning for Grades 8–12, aligned with major Indian and international curricula.

Academics
Professionals

Professional Courses

Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.

Professional Courses
Games

Interactive Games

Fun, engaging games to boost memory, math fluency, typing speed, and English skillsβ€”perfect for learners of all ages.

games

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Define a vector.

πŸ’‘ Hint: What are the two main characteristics of vectors?

Question 2

Easy

Give an example of a scalar.

πŸ’‘ Hint: Think of quantities that do not have direction.

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 defines a vector?

  • Only magnitude
  • Both magnitude and direction
  • None of the above

πŸ’‘ Hint: Remember how we differentiate between vectors and scalars.

Question 2

True or False: The zero vector has both magnitude and direction.

  • True
  • False

πŸ’‘ Hint: Think about the properties of the zero vector.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

A car travels east at a speed of 60 km/h. If it makes a turn and travels north at the same speed, represent this situation using vectors and find the resultant vector.

πŸ’‘ Hint: Use the Pythagorean theorem to find the resultant's magnitude.

Question 2

Two forces, vector 𝐹₁ pointing north with a magnitude of 10 N and vector 𝐹₂ pointing east with a magnitude of 10 N, are acting on an object. Determine the magnitude and direction of the resultant force.

πŸ’‘ Hint: Draw the vectors and apply vector addition to find the resultant.

Challenge and get performance evaluation