Operations with Vectors

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Cameron Montag
Victor Wang

Let $\vec{x}, \vec{y}$ be column vectors of length $3$ and $\vec{z}$ be a row vector of length $3$ . Let $A$ be an $3\times 3$ matrix. Which of the following are valid operations?

Choose all correct answers

Option A: A

$\vec{x} + \vec{y}$

Option B: B

$\vec{x} - \vec{z}$

Option C: C

$A \vec{x}$

Option D: D

$\vec{y} A$

Option E: E

$\vec{x} \cdot \vec{y}$

Option F: F

$\vec{x} \times \vec{y}$

Option G: G

$\vec{z} A$

Option H: H

$\vec{x} \vec{y}$

Option I: I

$\vec{y} \vec{z}$

Option J: J

$\vec{z} \vec{y}$

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