Find a unit vector in the direction of v: v=4i-2j?

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Please help me out.

2007-08-31 02:22:21 · 3 answers · asked by Kim M 1 in Science & Mathematics ➔ Mathematics

the answer choices are:

a: 4sqr5/5 i - 3sqr5/5 j
b: 4sqr27/27 i - 3sqr27/27 j
c: 4/5 i - 3/5j
d: sqr2/2 i - sqr2/2 j

2007-09-01 14:20:28 · update #1

Unit vector = (1/√20) (4i - 2j)

2007-08-31 08:55:12 · answer #1 · answered by Como 7 · 0⤊ 0⤋

easier than it seems.
1. find |v| = sqrt(4^2 + 2^2)
= 2 sqrt(5)

2. then divide each term of your vector by |v|
(2/sqrt(5)) i - (1/sqrt(5)) j

2007-08-31 09:29:56 · answer #2 · answered by mathgoddess83209 3 · 0⤊ 0⤋

u=(4i-2j)/sqrt(20)

2007-08-31 09:28:24 · answer #3 · answered by santmann2002 7 · 0⤊ 0⤋