5.4.1 - Geometric Representation
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Practice Questions
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Define a vector and provide an example.
💡 Hint: Think about any quantity that has both strength and direction.
What is a zero vector?
💡 Hint: Consider what happens when there is no movement.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does a vector represent?
💡 Hint: Remember the definition of a vector.
A zero vector has:
💡 Hint: What happens when there is no force?
2 more questions available
Challenge Problems
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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.
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.
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