I need help with this problem.
Find the unit vector that has the same direction as v = 4i - 2j
Thank you.
2007-03-01 23:09:54 · 5 answers · asked by Katrinka 1 in Science & Mathematics ➔ Mathematics
And (4i-2j)/sqrt(20)= (2i-j)/sqrt(5)
2007-03-01 23:26:36 · answer #1 · answered by diamond 3 · 0⤊ 0⤋
the length of a vector(also called modulus or amplitude) is given by sqrt(x^2 + y^2). In your case the length is sqrt(4^2 + (-2)^2) = sqrt(20) = 2sqrt(5).
This is a scalar. If you divide your vector by this number you get a unit vector in the direction of the given vector.
2007-03-01 23:16:51 · answer #2 · answered by physicist 4 · 0⤊ 0⤋
Unit vector =(4i-2j)/sqrt(20) (sqrt(20) is the modulus of the given vector)
2007-03-01 23:18:07 · answer #3 · answered by santmann2002 7 · 0⤊ 0⤋
a=(4i+2i)/(sqrt.(4^2+2^2))
a=4/sqrt.of20 i + 2/sqrt.of 20 j
u may simplify it by using calculator
2007-03-02 00:43:09 · answer #4 · answered by Anonymous · 0⤊ 0⤋
Divide your vector by its magnitude.
2007-03-01 23:13:37 · answer #5 · answered by Anonymous · 0⤊ 1⤋