Practice Geometric Representation - 5.4.1 | 5. Vectors | ICSE Class 12 Mathematics
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Define a vector and provide an example.

💡 Hint: Think about any quantity that has both strength and direction.

Question 2

Easy

What is a zero vector?

💡 Hint: Consider what happens when there is no movement.

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 represent?

  • Only direction
  • Only magnitude
  • Magnitude and direction

💡 Hint: Remember the definition of a vector.

Question 2

A zero vector has:

  • True
  • False

💡 Hint: What happens when there is no force?

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given vector A = 10𝑖̂ + 5𝑗̂ and vector B = 4𝑖̂ - 3𝑗̂, find the vector that is 3 times vector A minus 2 times vector B. Describe the process.

💡 Hint: Break it down into steps: first scale each vector, then combine by adding or subtracting.

Question 2

Visualize and calculate the resultant of vectors A = 7𝑖̂ + 3𝑗̂ and B = 5𝑖̂ + 6𝑗̂ on a coordinate graph. Describe how the addition graphically compares to algebraically.

💡 Hint: You can visualize the arrows and then verify with the component method.

Challenge and get performance evaluation