Question

Can any two vectors be rescaled to add to a unit vector

Answer 1

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★ Any set of vectors that form a basis of any given vector space are linearly independent from each other, that is, they are orthogonal to each other.

★ So, the sum (linear combination) of any given pair of basis vectors of a given vector space could never be equal to any basis vector of said vector space.

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Answer 2

Answer:

No

Step-by-step explanation:

if a, b ,c are three vectors , c = a+ b or b= c+a or a= b+c

Then c depends on a or a depends on b , in other words

no vectors are Independent on one another.

But unit vectors are Independent on one another and the magnitude of a unit vector is one.

For instance the Magnetic field at a point distant r from the current element dl is B = Integral of the function

(mu) i/ 4( pi) dl× r(hat) / r^2 dl is a vector and r(hat)

is unit Vector in the direction of r.

r ( hat) = r/| r| | r | is magnitude of Vector r.