Practice Scalar Multiplication - 5.5.3 | Chapter 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

If vector A is represented as 4i + 2j, what is 3A?

πŸ’‘ Hint: Multiply each component by the scalar.

Question 2

Easy

What happens to the vector if you multiply it by 0?

πŸ’‘ Hint: Consider what the magnitude becomes.

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 happens to the direction of a vector when multiplied by a negative scalar?

  • True
  • False

πŸ’‘ Hint: Think about how a negative sign affects movement.

Question 2

If A = 1i + 1j, what is the result of multiplying A by 5?

πŸ’‘ Hint: Scale the components by 5.

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given a vector A = 4i + 2j and k = -3, calculate the resulting vector after performing scalar multiplication. What does this tell us about the vector's direction?

πŸ’‘ Hint: Multiply each component by the scalar.

Question 2

In a physics context, if a force vector F = 10i + 5j is scaled by 0.5, what is the new force vector? Explain its significance.

πŸ’‘ Hint: Think about how halving the force affects movement or acceleration.

Challenge and get performance evaluation