All Questions
4
questions
0
votes
1
answer
112
views
Determining Acceleration to Intercept Accelerating Object
I'm trying to determine direction in which a missile should accelerate to hit a target in a 3D space simulation. The position and velocity of the missile, as well as the position, velocity, and ...
- 111
1
vote
1
answer
81
views
Finding a Vector Perpendicular to Two Other Vectors w/o Cross Products
I need to find a vector that is perpendicular to the vectors $[2, 3, 2]$ and $[4, 9, 5]$. I have not been taught the method with cross-products using matrices so I cannot use that method while solving ...
- 808
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