Define unit vector. Find a unit vector v of u = (0, -2, 2, -3) in the direction of u.

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Suresh Chand · Accepted Answer

A unit vector is a vector with a length or magnitude of 1. It is commonly used to represent directions or orientations in space and can be obtained from any non-zero vector by dividing it by its magnitude. Problem Part: Solution: To find the unit vector in the same direction as a vector, we divide it by its magnitude. The magnitude of v is (sqrt{0^2 + (-2)^2 + 2^2 + (-3)^2}) = (sqrt{17}) We will divide (vec{u}) by magnitude of (vec{v}). So, (left ( 0, frac{-2}{sqrt{17}}, frac{2}{sqrt{17}}, frac{-3}{sqrt{17}} right ))

Define unit vector. Find a unit vector v of u = (0, -2, 2, -3) in the direction of u.

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Define unit vector. Find a unit vector v of u = (0, -2, 2, -3) in the direction of u.

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