Question
Help converting JavaScript code to ECMAScript 3
Help converting JavaScript code to ECMAScript 3 to solve the angle 𝑎⋅𝑏|𝑎||𝑏|=cos𝜃 where X0 Y0 . X0 Y20
// What is the angle?
// 𝑎⋅𝑏|𝑎||𝑏|=cos𝜃, X0 Y0 . X0 Y20
function cosineTheta(a, b) {
let dotProduct = 0;
let aMagnitude = 0;
let bMagnitude = 0;
// Calculate dot product
for (let i = 0; i < a.length; i++) {
dotProduct += a[i] * b[i];
}
// Calculate magnitudes
for (let i = 0; i < a.length; i++) {
aMagnitude += a[i] * a[i];
bMagnitude += b[i] * b[i];
}
aMagnitude = Math.sqrt(aMagnitude);
bMagnitude = Math.sqrt(bMagnitude);
// Calculate cosine
return dotProduct / (aMagnitude * bMagnitude);
}
// Example usage needs to solve for X0 Y0 . X0 Y20 in 2D plane
// where the resulting angle between the vectors a and b is 90°
const vectorA = [1, 2, 3];
const vectorB = [4, 5, 6];
const cosTheta = cosineTheta(vectorA, vectorB);
console.log(cosTheta);
