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Write a Scilab code to determine a unit vector in Scilab?
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Here's a Scilab code snippet to determine a unit vector:
Code:
function [unit_vector] = unitVector(vector)
// This function calculates the unit vector of a given vector.
// Input:
// vector: The input vector (row or column).
// Output:
// unit_vector: The unit vector in the same direction as the input vector.
magnitude = norm(vector);
if magnitude == 0 then
error("Cannot normalize a zero vector.");
else
unit_vector = vector / magnitude;
end
endfunction
// Example Usage:
vector = [3, 4, 0]; // Example vector
unit_vector = unitVector(vector);
disp(unit_vector);
Explanation:
- Function Definition: The code defines a function called
unitVectorthat takes a vector as input and returns its unit vector. - Magnitude Calculation: It calculates the magnitude (Euclidean norm) of the input vector using the
norm()function. - Zero Vector Check: It checks if the magnitude is zero. If it is, it throws an error because a zero vector cannot be normalized.
- Unit Vector Calculation: If the magnitude is not zero, it divides the input vector by its magnitude to obtain the unit vector.
- Example Usage: The code includes an example of how to use the
unitVectorfunction with a sample vector. - Display:
disp(unit_vector)displays the resulting unit vector in the Scilab console.
How to use it:
- Copy and paste the code into the Scilab editor.
- Save the file (e.g.,
unitVector.sce). - In the Scilab console, execute the file using
exec("unitVector.sce"); - Now you can call the function
unitVectorwith your desired vector as input. For example:unit_vector = unitVector([1, 2, 3]);
Important Notes:
- The input vector can be either a row vector or a column vector. The function will work correctly in either case.
- The
norm()function calculates the Euclidean norm (also known as the L2 norm or magnitude) of the vector. - Error handling is included to prevent division by zero if the input vector is a zero vector.