A community for students.
Here's the question you clicked on:
 0 viewing
 2 years ago
Draw a parallelogram whose adjacent sides are determined by the vectors [4,6] and [3,5]. Find the area of the parallelogram.
 2 years ago
Draw a parallelogram whose adjacent sides are determined by the vectors [4,6] and [3,5]. Find the area of the parallelogram.

This Question is Closed

CliffSedge
 2 years ago
Best ResponseYou've already chosen the best response.1Isn't it dot product which finds the area?

CliffSedge
 2 years ago
Best ResponseYou've already chosen the best response.1You can use the origin (0,0) as the common start point for those two vectors; that would make it easiest to draw.

henpen
 2 years ago
Best ResponseYou've already chosen the best response.1No, I don't think it's dot product, as dot product is a measure of how much the vectors are in each other's direction, so it would have high dottiness if they were like thisdw:1350760137445:dwbut very low area (dottiness=cos(angle between vectors))

henpen
 2 years ago
Best ResponseYou've already chosen the best response.1Cross product most likely, but forget about the result being a vector.

CliffSedge
 2 years ago
Best ResponseYou've already chosen the best response.1Oh, that's right, cross product because it is a*b*sin(Θ).

CliffSedge
 2 years ago
Best ResponseYou've already chosen the best response.1b*sin(Θ) is the height of the parallelogram. Duh, should have remembered the basic trig on that one.

Copythat
 2 years ago
Best ResponseYou've already chosen the best response.0Is there any way to solve for the area without trig?

CliffSedge
 2 years ago
Best ResponseYou've already chosen the best response.1Well, doing the crossproduct has the trig builtin, so you wouldn't actually be using a trig function explicitly.

henpen
 2 years ago
Best ResponseYou've already chosen the best response.1I suppose you could try to use pythagoras

CliffSedge
 2 years ago
Best ResponseYou've already chosen the best response.1^ what do you mean? By stacking up right triangles and using subtraction?

henpen
 2 years ago
Best ResponseYou've already chosen the best response.1dw:1350764732234:dw find B perpendicular with A by finding the 'gradient' of A... you can do it, but it's really fiddly

henpen
 2 years ago
Best ResponseYou've already chosen the best response.1No there must be an elegant way of finding B perp A

henpen
 2 years ago
Best ResponseYou've already chosen the best response.1as a function of Ax, Bx, Ay and By

CliffSedge
 2 years ago
Best ResponseYou've already chosen the best response.1I'd rather just do the crossproduct.

CliffSedge
 2 years ago
Best ResponseYou've already chosen the best response.1\[\left[\begin{matrix}i & j & k \\ 4 & 6 & 0 \\ 3 & 5 & 0\end{matrix}\right] = 4\times5  6\times3=2\]
Ask your own question
Sign UpFind 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.