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Find unit vectors that satisfy the given conditions:The unit vector that has the same...
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(Level 1) Associate Educator, Expert, Newton
The vector from (-4,3) to (1,7) is <5,4>, because 1-(-4)=5 and 7-3=4
If we multiply both entries of our vector by the same positive number, we will get a vector in the same direction as our original vector. (If we multiply both entries of our vector by the same negative number, we will get a vector in the opposite direction as our original vector.)
The length of the vector <5,4> is
We would like a unit vector (so length 1). Our vector has length approx 6.4, so we need to multiply each entry by approx: 1/6.4
To simplify, multiply the numerators and denominators by `sqrt(41)`
`<(5 sqrt(41))/41, (4 sqrt(41))/41>`
Posted by mlehuzzah on January 15, 2013 at 11:26 PM (Answer #1)
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