anonymous
  • anonymous
find a vector in the direction 2i+j-2k that has length 1
Mathematics
jamiebookeater
  • jamiebookeater
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amistre64
  • amistre64
how long is the given vector to begin with?
amistre64
  • amistre64
vector = L units to determine the vector of 1 unit, divide both sides by L vector/L = L/L units vector/L = 1 units
anonymous
  • anonymous
we just have the direction and the length of the required vector

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amistre64
  • amistre64
thats all we need, and some knowledge about what a unit vector is spose to be ....
anonymous
  • anonymous
i have idea like: unit vector of that direction is <2, 1, -2>/sqr(2^2 +1^2+(-2)^2 =<2/sqr(5,1/sqr(5),-2/sqr(5)> is is right?
amistre64
  • amistre64
thats correct :) except maybe check you length again
anonymous
  • anonymous
and use the length 1 multiply to the unit vector to get what we need, is it right?
amistre64
  • amistre64
sqrt(8) = 2sqrt(2)
amistre64
  • amistre64
ugh ... 4+1+4 = 9 so sqrt(9) = 3
anonymous
  • anonymous
yeah, you are right, my bad. thanks a lot
amistre64
  • amistre64
divide all the vector parts by 3 :)

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