Precalculus aid » Matrices and Vectors » Algebraic Vectors and Parametric Equations » discover the Unit Vector in the same Direction together a given Vector

Find the unit vector the is in the very same direction together the vector

Explanation:

To find the unit vector in the exact same direction together a vector, we division it by its magnitude.

The magnitude of

is
.

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We divide vector

by its magnitude to get the unit vector
:

or

All unit vectors have a size of

, so to verify we are correct:

Given the vector

Then, splitting the vector by its length provides the unit vector in the same direction.

Explanation:

To get the unit vector that is in the exact same direction together the original vector

, we divide the vector by the magnitude of the vector.

For

, the size is:

.

This method the unit vector in the same direction of

is,

Find the unit vector of

.

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Following the unit vector formula and substituting because that the vector and also magnitude

Following the unit vector formula and also substituting for the vector and also magnitude

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