A community for students. Sign up today!
Here's the question you clicked on:
 0 viewing
 2 years ago
Let u=(4,0,1), v=(5,1,0), and w=(3,1,2).
Find the area of the triangle determined by u and v.
 2 years ago
Let u=(4,0,1), v=(5,1,0), and w=(3,1,2). Find the area of the triangle determined by u and v.

This Question is Closed

slaaibak
 2 years ago
Best ResponseYou've already chosen the best response.2I think the area for the parallelogram would be the length of the cross product. u x v

slaaibak
 2 years ago
Best ResponseYou've already chosen the best response.2Therefore, the area of the triangle would be the half of }u x v

shelovespiano
 2 years ago
Best ResponseYou've already chosen the best response.0Could you write it out? I'm a little confused, I guess.

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.0what have you some up with in the cross product so far?

shelovespiano
 2 years ago
Best ResponseYou've already chosen the best response.0I have (20, 0, 0) but I feel like I've done something wrong... I'm not very good with vectors.

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.0\[\begin{vmatrix}X&Y&Z\\U_x&U_y&U_z\\V_x&V_y&V_z\end{vmatrix}\to X\begin{vmatrix}\\U_y&U_z\\V_y&V_z\end{vmatrix} Y\begin{vmatrix}\\U_x&U_z\\V_x&V_z\end{vmatrix} +Z\begin{vmatrix}\\U_x&U_y\\V_x&V_y\end{vmatrix}\]

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.0thats the "formal" confusion for it: me, i just do this x 4 5 x = 1 y 0 1 y = 5 z 1 0 z = 4

shelovespiano
 2 years ago
Best ResponseYou've already chosen the best response.0How does what you just did work?

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.0so, the length of the vector <1,5,4> its the same process as the fancy typing; but in a vertical format that I can keep track of better

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.0turn the matrix on its side pretty much and expand down the first column; taking the determinant of each sub matrix along the way

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.0<1,5,4> ^2 = 1 + 25 + 16 = sqrt(42) sqrt(42)/2 = area triangle

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.0there are other ways to do it if you cant cross that well :)

amistre64
 2 years ago
Best ResponseYou've already chosen the best response.0but the cross bypasses any trig you might not know

shelovespiano
 2 years ago
Best ResponseYou've already chosen the best response.0Ok. I think this works pretty well for me:P
Ask your own question
Ask a QuestionFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.