anonymous
  • anonymous
vectors again
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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ganeshie8
  • ganeshie8
find the unit vector in the given direction, multiply it wid the required magnitude
anonymous
  • anonymous
\[\frac{ 1 }{ 10 } <0,3,3>\]
ganeshie8
  • ganeshie8
nopes

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anonymous
  • anonymous
oooops
ganeshie8
  • ganeshie8
we're supposed to find a vector wid magnitude: 10 , and in the direction of vector: <0,3,3>
anonymous
  • anonymous
first find the unit vector in the given direction and then multipluy the unit vector by 10 unit vector along the vector is given by ( ) /sqrt(a^2 +b^2 +c ^2)
ganeshie8
  • ganeshie8
to find that, we can simply find the unit vector in the given direction <0, 3, 3> <0, 3, 3> ---------- 3^2+3^2
Psymon
  • Psymon
Find the magnitude of your current vector then multiply it by the number necessary to make the value = to 10.
ganeshie8
  • ganeshie8
*sqrt missing <0, 3, 3> ---------- sqrt(3^2+3^2)
Psymon
  • Psymon
\[\sqrt{(0)^{2}+(3)^{2}+(3)^{2}}*x = 10\]
anonymous
  • anonymous
1/3sqrt(2) <0,3,3>
ganeshie8
  • ganeshie8
yes thats the unit vector. which will have magnitude 1
ganeshie8
  • ganeshie8
to get magnitude 10, multiply the unit vector wid scalar 10
anonymous
  • anonymous
alright so the unmbers would be \[<0,\frac{ 10 }{ \sqrt(2) }, 10/\sqrt(2)>\]
ganeshie8
  • ganeshie8
looks correct !
anonymous
  • anonymous
yep thank you...but i didn't understand why did we multiplied the magnitude by the unit vector
ganeshie8
  • ganeshie8
|dw:1378182283419:dw|
ganeshie8
  • ganeshie8
when we multiply the unit vector by a scalar, its magnitude increases by that factor
ganeshie8
  • ganeshie8
its simple as that, you can make urself convinced by doing the reverse process :- take the magnitude, and see if u get 10 back... :)
anonymous
  • anonymous
got it ty
ganeshie8
  • ganeshie8
np :)

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