From 053b88314a04adc3145332418f2b35ed232b973f Mon Sep 17 00:00:00 2001
From: ShraddhaBhojane <55998820+ShraddhaBhojane@users.noreply.github.com>
Date: Mon, 16 Dec 2019 15:43:13 +0100
Subject: [PATCH 1/5] added snippet VectorAngle

---
 snippets/vectorAngle.md | 36 ++++++++++++++++++++++++++++++++++++
 1 file changed, 36 insertions(+)
 create mode 100644 snippets/vectorAngle.md

diff --git a/snippets/vectorAngle.md b/snippets/vectorAngle.md
new file mode 100644
index 000000000..119c77e30
--- /dev/null
+++ b/snippets/vectorAngle.md
@@ -0,0 +1,36 @@
+---
+title: vectorAngle
+tags: math,intermediate
+---
+
+Returns the angle (theta) value between two vectors.
+
+Use `Math.trunc()` to pick the integer value of length. Use `slice()` slice the incoming array into individual vectors. 
+Use `forEach()`, `Math.pow()` and `Math.sqrt()` to iterate over the vectors and calculate the magnitude of each vector and the scalar product.
+Use `Math.acos()` to calculate arccos and get the theta.
+
+
+```js
+const theta = ((...x) =>{ 
+  let half = Math.trunc(x.length / 2);
+  let a = x.slice(0 , half);
+  let b = x.slice(half);  
+
+  let magnitudeOfA = 0;
+  a.forEach((a) => magnitudeOfA += Math.pow(a , 2));
+  magnitudeOfA = Math.sqrt(magnitudeOfA);
+  
+  let magnitudeOfB = 0;
+  b.forEach((b) => magnitudeOfB += Math.pow(b , 2));
+  magnitudeOfB = Math.sqrt(magnitudeOfB);
+  
+  let scalar = 0;
+  a.forEach((a , i) => scalar += a * b[i]);
+  
+  return Math.acos(scalar / (magnitudeOfA*magnitudeOfB));
+});
+```
+
+```js
+theta(3,4,4,3); // 0.283794109208328
+```
\ No newline at end of file

From 841f36044fd647f8cf934bd4fa35134252ac590c Mon Sep 17 00:00:00 2001
From: ShraddhaBhojane <55998820+ShraddhaBhojane@users.noreply.github.com>
Date: Sun, 22 Dec 2019 16:36:29 +0100
Subject: [PATCH 2/5] Update snippets/vectorAngle.md

Co-Authored-By: Angelos Chalaris <chalarangelo@gmail.com>
---
 snippets/vectorAngle.md | 4 ++--
 1 file changed, 2 insertions(+), 2 deletions(-)

diff --git a/snippets/vectorAngle.md b/snippets/vectorAngle.md
index 119c77e30..64567066b 100644
--- a/snippets/vectorAngle.md
+++ b/snippets/vectorAngle.md
@@ -1,6 +1,6 @@
 ---
 title: vectorAngle
-tags: math,intermediate
+tags: math,beginner
 ---
 
 Returns the angle (theta) value between two vectors.
@@ -33,4 +33,4 @@ const theta = ((...x) =>{
 
 ```js
 theta(3,4,4,3); // 0.283794109208328
-```
\ No newline at end of file
+```

From 00ad575adbeda0ad190369304e52a0c1b377f4c1 Mon Sep 17 00:00:00 2001
From: ShraddhaBhojane <55998820+ShraddhaBhojane@users.noreply.github.com>
Date: Sun, 22 Dec 2019 17:26:01 +0100
Subject: [PATCH 3/5] changes made

---
 snippets/vectorAngle.md | 33 ++++++++++++---------------------
 1 file changed, 12 insertions(+), 21 deletions(-)

diff --git a/snippets/vectorAngle.md b/snippets/vectorAngle.md
index 119c77e30..f686f4a57 100644
--- a/snippets/vectorAngle.md
+++ b/snippets/vectorAngle.md
@@ -1,36 +1,27 @@
 ---
 title: vectorAngle
-tags: math,intermediate
+tags: math,beginner
 ---
 
 Returns the angle (theta) value between two vectors.
 
-Use `Math.trunc()` to pick the integer value of length. Use `slice()` slice the incoming array into individual vectors. 
-Use `forEach()`, `Math.pow()` and `Math.sqrt()` to iterate over the vectors and calculate the magnitude of each vector and the scalar product.
+Use `Math.trunc()` to convert the half of `length` to integer. 
+Use `Array.prototype.slice()` slice the incoming array into two vectors. 
+Use `Array.prototype.reduce()`, `Math.pow()` and `Math.sqrt()` to calculate the magnitude of each vector and the scalar product of the two vectors.
 Use `Math.acos()` to calculate arccos and get the theta.
 
 
 ```js
-const theta = ((...x) =>{ 
+const vectorAngle = (...x) =>{ 
   let half = Math.trunc(x.length / 2);
-  let a = x.slice(0 , half);
-  let b = x.slice(half);  
-
-  let magnitudeOfA = 0;
-  a.forEach((a) => magnitudeOfA += Math.pow(a , 2));
-  magnitudeOfA = Math.sqrt(magnitudeOfA);
-  
-  let magnitudeOfB = 0;
-  b.forEach((b) => magnitudeOfB += Math.pow(b , 2));
-  magnitudeOfB = Math.sqrt(magnitudeOfB);
-  
-  let scalar = 0;
-  a.forEach((a , i) => scalar += a * b[i]);
-  
-  return Math.acos(scalar / (magnitudeOfA*magnitudeOfB));
-});
+  let [a, b] = [x.slice(0, half), x.slice(half)];  
+  let magnitudeOfA = Math.sqrt(a.reduce((total, num) => {return total + Math.pow(num, 2);}, 0));
+  let magnitudeOfB = Math.sqrt(b.reduce((total, num) => {return total + Math.pow(num, 2);}, 0));
+  let scalar = a.reduce((total, num, i)=>{return total + (num * b[i])}, 0);
+  return Math.acos(scalar / (magnitudeOfA * magnitudeOfB));
+};
 ```
 
 ```js
-theta(3,4,4,3); // 0.283794109208328
+vectorAngle(3,4,4,3); // 0.283794109208328
 ```
\ No newline at end of file

From eaf471dec9c6daba906ca8f90c25632a68271c6e Mon Sep 17 00:00:00 2001
From: ShraddhaBhojane <55998820+ShraddhaBhojane@users.noreply.github.com>
Date: Sun, 22 Dec 2019 17:59:26 +0100
Subject: [PATCH 4/5] changes to the snippet

---
 snippets/vectorAngle.md | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/snippets/vectorAngle.md b/snippets/vectorAngle.md
index 4c9dc2000..ce218fde1 100644
--- a/snippets/vectorAngle.md
+++ b/snippets/vectorAngle.md
@@ -1,6 +1,6 @@
 ---
 title: vectorAngle
-tags: math,beginner
+tags: math, beginner
 ---
 
 Returns the angle (theta) value between two vectors.

From 275c5e61f5da9491d24bcf353c23799cbf6ca97e Mon Sep 17 00:00:00 2001
From: Angelos Chalaris <chalarangelo@gmail.com>
Date: Thu, 16 Apr 2020 23:18:18 +0300
Subject: [PATCH 5/5] Update vectorAngle.md

---
 snippets/vectorAngle.md | 21 ++++++++-------------
 1 file changed, 8 insertions(+), 13 deletions(-)

diff --git a/snippets/vectorAngle.md b/snippets/vectorAngle.md
index ce218fde1..336277285 100644
--- a/snippets/vectorAngle.md
+++ b/snippets/vectorAngle.md
@@ -1,28 +1,23 @@
 ---
 title: vectorAngle
-tags: math, beginner
+tags: math,beginner
 ---
 
-Returns the angle (theta) value between two vectors.
+Returns the angle (theta) between two vectors.
 
-Use `Math.trunc()` to convert the half of `length` to integer. 
-Use `Array.prototype.slice()` slice the incoming array into two vectors. 
 Use `Array.prototype.reduce()`, `Math.pow()` and `Math.sqrt()` to calculate the magnitude of each vector and the scalar product of the two vectors.
-Use `Math.acos()` to calculate arccos and get the theta.
+Use `Math.acos()` to calculate the arccos and get the theta value.
 
 
 ```js
-const vectorAngle = (...x) =>{ 
-  let half = Math.trunc(x.length / 2);
-  let [a, b] = [x.slice(0, half), x.slice(half)];  
-  let magnitudeOfA = Math.sqrt(a.reduce((total, num) => {return total + Math.pow(num, 2);}, 0));
-  let magnitudeOfB = Math.sqrt(b.reduce((total, num) => {return total + Math.pow(num, 2);}, 0));
-  let scalar = a.reduce((total, num, i)=>{return total + (num * b[i])}, 0);
-  return Math.acos(scalar / (magnitudeOfA * magnitudeOfB));
+const vectorAngle = (x, y) => {
+  let mX = Math.sqrt(x.reduce((acc, n) => acc + Math.pow(n, 2), 0));
+  let mY = Math.sqrt(y.reduce((acc, n) => acc + Math.pow(n, 2), 0));
+  return Math.acos(x.reduce((acc, n, i) => acc + n * y[i], 0) / (mX * mY));
 };
 ```
 
 ```js
-vectorAngle(3,4,4,3); // 0.283794109208328
+vectorAngle([3, 4], [4, 3]); // 0.283794109208328
 ```