Practice Geometric Representation (5.4.1) - Vectors

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6 sample questions

Question 1.
Define a vector and provide an example.
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Think about any quantity that has both strength and direction.
Question 2.
What is a zero vector?
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Consider what happens when there is no movement.
3Question 3.
What does a vector represent?
- Only direction
- Only magnitude
- Magnitude and direction
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Remember the definition of a vector.
4Question 4.
A zero vector has:
- True
- False
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What happens when there is no force?
Question 5.
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.
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Break it down into steps: first scale each vector, then combine by adding or subtracting.
Question 6.
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.
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You can visualize the arrows and then verify with the component method.

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