Practice In 2d (5.4.2.1) - Vectors

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9 questions

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6 sample questions

Question 1.
Define a vector in your own words.
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Think about what makes vectors different from scalars.
Question 2.
What does the length of a vector represent?
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Consider what is visualized by the vector's arrow.
3Question 3.
What does a vector always have?
- Magnitude only
- Direction only
- Both magnitude and direction
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Think about the definition of vectors.
4Question 4.
The component form of a vector $\vec{A}$ in 2D is given as $\vec{A} = A_x \hat{i} + A_y \hat{j}$ . Is this statement true or false?
- True
- False
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Refer back to the section on algebraic representation.
Question 5.
Given two vectors $\vec{A} = 4 \hat{i} - 3 \hat{j}$ and $\vec{B} = -2 \hat{i} + 5 \hat{j}$ , calculate the result of $\vec{A} + \vec{B}$ and $\vec{A} - \vec{B}$ .
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Add and subtract the respective components.
Question 6.
Using the vectors $\vec{A} = 6 \hat{i} + 2 \hat{j}$ and $\vec{B} = 4 \hat{i} + 3 \hat{j}$ , find the angle between them using the dot product.
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To find the angle use the arccosine function on the result from the dot product.

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