All Questions
4
questions
3
votes
0
answers
51
views
Tangent unit vectors?
The question asks to find the unit tangent vector at the specified value of the parameter. I think I know the process, but I can't for the life of me figure out why I am getting the wrong answer.
$r(...
- 23.8k
0
votes
1
answer
2k
views
Converting from cartesian to vector valued functions?
Find vector-valued functions forming the boundaries of the region in the figure. Intervals are given for the parameter of each function.
The figure is just the parabola $y=x^2$ bounded by the lines $...
- 23.8k
2
votes
2
answers
224
views
Trying to show $|\overrightarrow{a}\times\overrightarrow{b}|^2=|\overrightarrow{a}|^2|\overrightarrow{b}|^2-(\overrightarrow{a}⋅\overrightarrow{b})^2$
If $\overrightarrow{a} = \langle a_1, a_2, a_3 \rangle$ and $\overrightarrow{b} = \langle b_1, b_2, b_3 \rangle$, then the cross product of $\overrightarrow{a}$ and $\overrightarrow{b}$ is the vector
$...
- 608
3
votes
2
answers
74
views
Finding $P$ knowing $\overrightarrow{PQ}×\overrightarrow{b}$, $\overrightarrow{PQ}⋅\overrightarrow{c}$, $\overrightarrow{b}$, and $\overrightarrow{c}$
Let $Q$ be the point $(1,2,3)$, let $\overrightarrow{b} = \langle -1, 0, 1\rangle$, and let $\overrightarrow{c} = \langle 2, 1, 5\rangle$. It is known that $\overrightarrow{PQ} \times \overrightarrow{...
- 608