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State the components of a unit vector that is perpendicular to the vector v= (5,2,-1)

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Given the following vector:


v=(5,2,-1)

We will find a unit vector that will be perpendicular to the given vector

As we know, the perpendicular vectors have a dot product = 0

Let the perpendicular vector = w = (x,y,z)

So, we will write the equation of the dot product as follows:


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