A community for students.
Here's the question you clicked on:
 0 viewing
Zara26
 2 years ago
find the components of the vector 3i+2j+8k in the direction of the vector 2i+2j+2k
Zara26
 2 years ago
find the components of the vector 3i+2j+8k in the direction of the vector 2i+2j+2k

This Question is Closed

sam30317
 2 years ago
Best ResponseYou've already chosen the best response.03i+2j+8k +2i+2j+2k ______________ 5i +4j +10k Check if its right. Been a looong time since ive done this.

dumbcow
 2 years ago
Best ResponseYou've already chosen the best response.2im guessing find magnitude of 1st vector > sqrt(3^2 + 2^2+8^2) = sqrt(77) and then find components of directional vector with same magnitude unit vector of 2nd vector = 1/sqrt3 , 1/sqrt3 , 1/sqrt3 multiply by magnitude > sqrt(77/3) i + sqrt(77/3) j + sqrt(77/3) k

Zara26
 2 years ago
Best ResponseYou've already chosen the best response.0r u sure about the answer

sam30317
 2 years ago
Best ResponseYou've already chosen the best response.0.....NO!!! Im not confident thats right. I suggest asking this question in the physics study group. And look at t his site: http://www.ehow.com/how_8396057_determineresultantvector.html

dumbcow
 2 years ago
Best ResponseYou've already chosen the best response.2im pretty sure i did it right as long as i understood the question correctly. you taking 1st vector and placing it so its going same direction as 2nd vector but has same magnitude...correct?

Zara26
 2 years ago
Best ResponseYou've already chosen the best response.0am not sure...am still trying to solve it

sam30317
 2 years ago
Best ResponseYou've already chosen the best response.0R u doing college physics?? Did u read anything about "dot product"??

wasiqss
 2 years ago
Best ResponseYou've already chosen the best response.0wait, ik the right answer.

wasiqss
 2 years ago
Best ResponseYou've already chosen the best response.0we take the dot product of first vector with unit vector of second

sam30317
 2 years ago
Best ResponseYou've already chosen the best response.0Instead of adding, do what I showed you in the SAME set up, except u multiply straight down: (3*2)+(2*2)+(8*2) = 26

sam30317
 2 years ago
Best ResponseYou've already chosen the best response.0Yeaaah!! I dont remember how to get angle..if its needed

wasiqss
 2 years ago
Best ResponseYou've already chosen the best response.0zara my answer is the right one, cause i did this question last day

FoolForMath
 2 years ago
Best ResponseYou've already chosen the best response.1\(<3,2,8> . <2,2,2> = 6 + 4+16 = 26\) \[<2,2,2>= \sqrt{12} \] Vector component of \(\vec{a} \)in the direction of \(\vec{b}\) is given by \( \frac {\mathbf{a} \cdot \mathbf{b}} {\mathbf{b} } \frac {\mathbf{b}} {\mathbf{b}} \) Hence, \(\frac {26}{12} <2,2,2> = \frac {13}6<2,2,2> \)

FoolForMath
 2 years ago
Best ResponseYou've already chosen the best response.1I have assumed that you meant vector component and not the scalar one.

FoolForMath
 2 years ago
Best ResponseYou've already chosen the best response.1@dumbcow: I am not sure from where you came up with that definition, can you please explain? http://en.wikipedia.org/wiki/Vector_projection

anonymoustwo44
 2 years ago
Best ResponseYou've already chosen the best response.0foolformath's right

dumbcow
 2 years ago
Best ResponseYou've already chosen the best response.2@foolFormath, oops did not recognize this as vector projection...for some reason i thought the magnitude of 1st vector should remain the same
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.