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Find a unit vector that has the same direction as the given vector.$$[8,-1,4]$$
$\left[\frac{8}{9},-\frac{1}{9}, \frac{4}{9}\right]$
Calculus 3
Chapter 8
Vectors and Matrix Models
Section 2
Vectors
Harvey Mudd College
Baylor University
Idaho State University
Boston College
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this question asked us to find a unit vector with same direction as the given vector. What we know is that we have what a is. Therefore, we know the length of a is the opposite values A which is the square root of a squared plus negative one squared plus four square. Therefore, we know this is equivalent to the square root of 81 which is nine because nine squared is 81. Therefore, we know that our coordinates would be negative. Eight are so positive. Eight divided by nine and then the next one is negative. Negative one negative one divide by nine and then we have positive for divide by nines. We're just taking each of the coordinate points in dividing them. By are nine, which is what we figured out.
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