5.5.3 - Scalar Multiplication
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Practice Questions
Test your understanding with targeted questions
If vector A is represented as 4i + 2j, what is 3A?
💡 Hint: Multiply each component by the scalar.
What happens to the vector if you multiply it by 0?
💡 Hint: Consider what the magnitude becomes.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What happens to the direction of a vector when multiplied by a negative scalar?
💡 Hint: Think about how a negative sign affects movement.
If A = 1i + 1j, what is the result of multiplying A by 5?
💡 Hint: Scale the components by 5.
2 more questions available
Challenge Problems
Push your limits with advanced challenges
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?
💡 Hint: Multiply each component by the scalar.
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.
💡 Hint: Think about how halving the force affects movement or acceleration.
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