Practice A Vector And Its Representation (1) - A vector and its representation

Practice: A vector and its representation

Lesson 1A vector and its representation

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8 questions

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2 cards from this section. Quick, good the night before a test.
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6 questions · about 4 min · pass mark 70%. Hints available.
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2 questions · about 1 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
Define a vector in your own words.
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Think about what makes a vector unique compared to other mathematical entities.
Question 2.
How do you represent a vector graphically?
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Remember the visual representation of arrows for vectors.
3Question 3.
What defines a vector?
- Only magnitude
- Only direction
- Magnitude and direction
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Think about what makes vectors different from scalars.
4Question 4.
Does changing the coordinate system change the vector itself?
- True
- False
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Consider whether the essence of an object changes when viewed differently.
Question 5.
Two vectors $\vec{a} = [3, 4]$ and $\vec{b} = [1, 2]$ are given. Calculate the dot product and the angle between them.
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Use the magnitudes of both vectors and the dot product to find the angle.
Question 6.
A vector $\vec{c}$ lies in the xy-plane and makes a 45-degree angle with the x-axis. If its magnitude is 10, represent $\vec{c}$ in component form.
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Use trigonometric functions to resolve the vector into its components.

4 more questions in this section. Enroll free to practise them all.