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 $a\times b$?

Find the magnitude and direction of the vector $\overrightarrow{C}=2\overrightarrow{B}\times \overrightarrow{A}$ .

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 $\overrightarrow{b}$?

Let $u=\left(3,0,0\right)$ and $v=\left(0,4,0\right)$. What is $|u\times v|$ and is $u\times v$ directed into the screen or out of the screen?

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

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