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 $\overrightarrow{b}$?

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)?

For the two vectors in Fig. E1.35, find the magnitude and direction of the vector product A x B

Find the magnitude and direction of the vector C =2B × A.

For the two vectors $\overrightarrow{A}$ and $\overrightarrow{B}$ in the figure$1.39$, find the magnitude and direction of the vector product $\overrightarrow{A}\times \overrightarrow{B}$.

Evaluate the cross products and A ✕ B and C ✕ D.

Vector A ＝ 3î＋ĵ and vector B＝ 3î - 2ĵ ＋ 2k. What is the cross product A ✕ B?