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find the components of the vector 3i+2j+8k in the direction of the vector 2i+2j+2k
 one year ago
 one year ago
find the components of the vector 3i+2j+8k in the direction of the vector 2i+2j+2k
 one year ago
 one year ago

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sam30317Best ResponseYou've already chosen the best response.0
3i+2j+8k +2i+2j+2k ______________ 5i +4j +10k Check if its right. Been a looong time since ive done this.
 one year ago

dumbcowBest ResponseYou've already chosen the best response.2
im 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
 one year ago

Zara26Best ResponseYou've already chosen the best response.0
r u sure about the answer
 one year ago

sam30317Best 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
 one year ago

dumbcowBest ResponseYou've already chosen the best response.2
im 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?
 one year ago

Zara26Best ResponseYou've already chosen the best response.0
am not sure...am still trying to solve it
 one year ago

sam30317Best ResponseYou've already chosen the best response.0
R u doing college physics?? Did u read anything about "dot product"??
 one year ago

wasiqssBest ResponseYou've already chosen the best response.0
wait, ik the right answer.
 one year ago

wasiqssBest ResponseYou've already chosen the best response.0
we take the dot product of first vector with unit vector of second
 one year ago

sam30317Best ResponseYou've already chosen the best response.0
Instead of adding, do what I showed you in the SAME set up, except u multiply straight down: (3*2)+(2*2)+(8*2) = 26
 one year ago

sam30317Best ResponseYou've already chosen the best response.0
Yeaaah!! I dont remember how to get angle..if its needed
 one year ago

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

FoolForMathBest 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, \(\frac {26}{12} <2,2,2> = \frac {13}6<2,2,2> \)
 one year ago

FoolForMathBest ResponseYou've already chosen the best response.1
I have assumed that you meant vector component and not the scalar one.
 one year ago

FoolForMathBest 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
 one year ago

anonymoustwo44Best ResponseYou've already chosen the best response.0
foolformath's right
 one year ago

dumbcowBest 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
 one year ago
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