Question
For $\boldsymbol{a}=(1,3,-2), \boldsymbol{b}=(0,3,1), \boldsymbol{c}=(0,-1,2)$, find:$$\boldsymbol{b} \times \boldsymbol{c},|\boldsymbol{b} \times \boldsymbol{c}|$$
Step 1
The cross product of two vectors $\boldsymbol{b}=(b_1,b_2,b_3)$ and $\boldsymbol{c}=(c_1,c_2,c_3)$ is given by: $$ \boldsymbol{b} \times \boldsymbol{c} = (b_2c_3 - b_3c_2, b_3c_1 - b_1c_3, b_1c_2 - b_2c_1) $$ Substituting the given values, we Show more…
Show all steps
Your feedback will help us improve your experience
Adriano Chikande and 101 other Calculus 3 educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
For $\boldsymbol{a}=(1,3,-2), \boldsymbol{b}=(0,3,1), \boldsymbol{c}=(0,-1,2)$, find:$$ a \times(b \times c),(a \times b) \times c $$
For $\boldsymbol{a}=(1,3,-2), \boldsymbol{b}=(0,3,1), \boldsymbol{c}=(0,-1,2)$, find:$$ (a+b) \times c, a \times c+b \times c $$
For $\boldsymbol{a}=(1,3,-2), \boldsymbol{b}=(0,3,1), \boldsymbol{c}=(0,-1,2)$, find:$$ (a \times c) \cdot b $$
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD