3. Vectors

Given two vectors $j-k$ and $k-i$, what is their cross product $\times$ using the properties of cross products (not determinants)?

Using the properties of cross products, what is the result of $i\times j$×$k$?

Given two vectors $\overrightarrow{a}$ and $\overrightarrow{b}$ with an angle $\theta$ between them, what is the magnitude of their vector product $|\overrightarrow{a}\times \overrightarrow{b}|$?

Given the vectors $a=t𝑖+\cos \left(t\right)𝑗+\sin \left(t\right)𝑘$ and $b=𝑖-\sin \left(t\right)𝑗+\cos \left(t\right)𝑘$, what is the cross product $a\times b$?

For two non-parallel vectors $\overrightarrow{a}$ and $\overrightarrow{b}$, the cross product $\overrightarrow{a}\times \overrightarrow{b}$ points in which direction?

Given two vectors $a$ and $b$ in three-dimensional space, which of the following statements correctly describes the cross product $a\times b$ using its properties (without using determinants)?

What is the magnitude of the cross product of two vectors $\overrightarrow{a}$ and $\overrightarrow{b}$?