local vectorLibrary = {}

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function vectorLibrary.newVector2(x, y)
	return { x, y }
end

function vectorLibrary.newVector3(x, y, z)
	return { x, y, z }
end

function vectorLibrary.newVector4(x, y, z, w)
	return { x, y, z, w }
end

function vectorLibrary.newVector5(x, y, z, u, v)
	return { x, y, z, u, v }
end

function vectorLibrary.scalarMultiply(vectorA, vectorB)
	local result = 0
	for dismension = 1, #vectorA do
		result = result + vectorA[dismension] * vectorB[dismension]
	end

	return result
end

function vectorLibrary.length(vector)
	local result = 0
	for dismension = 1, #vector do
		result = result + vector[dismension] ^ 2
	end

	return math.sqrt(result)
end

function vectorLibrary.normalize(vector)
	local invertedLength = 1 / vectorLibrary.length(vector)
	vector[1], vector[2], vector[3] = vector[1] * invertedLength, vector[2] * invertedLength, vector[3] * invertedLength
	return vector
end

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return vectorLibrary