Find unit vector (u) with the same direction
To find a unit vector with the same direction as a given vector, we need to normalize the given vector
To find a unit vector with the same direction as a given vector, we need to normalize the given vector.
Let’s assume the given vector is V = (v1, v2, v3).
Step 1: Calculate the magnitude (length) of the vector V.
The magnitude of a vector V = √(v1^2 + v2^2 + v3^2)
Step 2: Divide each component of the vector V by its magnitude.
v1_normalized = v1 / |V|
v2_normalized = v2 / |V|
v3_normalized = v3 / |V|
Step 3: Combine the normalized components to form the unit vector u.
u = (v1_normalized, v2_normalized, v3_normalized)
The resulting vector u will have the same direction as the original vector V but will have a length/magnitude of 1, making it a unit vector.
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