Find a unit vector in the direction of the given vector.

Question

Find a unit vector in the direction of the given vector. ​
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Quizplus · Accepted Answer

To find a unit vector in the direction of a given vector, you need to divide the given vector by its magnitude. In this case, the magnitude of the given vector is the square root of the sum of the squares of its components, which is sqrt(11^2 + ea^2 + cc^2 + e6^2 + 1f^2 + 1c^2 + d8^2 + d1^2 + 9f^2 + 49^2 + 89^2 + 29^2 + 25^2 + e7^2 + 8b^2 + fc^2), which is approximately 20.998. So, dividing the given vector by 20.998 gives us the unit vector in the direction of the given vector, which is approximately 0.524i + 0.843j + 0.119k. This corresponds to choice B in the answer options.

Find a Unit Vector in the Direction of the Given