Angle between two lines

raffyjam · September 11, 2022, 9:45am

I have a point (V1) that is not located at (0,0,0) but something else.
I have two other point in space, and also them are not located at (0,0,0) and different from the previous one (V2 and V3).

I need to find the angle between two lines: one that is passing through V1 and V2, and the other that is passing through V1 and V3.

I attached an image that is clarifying the angle i need to find the value.

Takemura · September 11, 2022, 10:04am

How about using Dot and Cross Product of two vectors:

or instead Dot there is a Vector3.GetAngleBetweenVectors()-function:

raffyjam · September 11, 2022, 11:00am

Thanks a lot!
The second method (Vector3.GetAngleBetweenVectors) can work also if the origin of the two arrows is not BABYLON.Vector3.Zero()? In the example i see only two points and the angle is calculated at the zero vector, while in my case the angle is not located at the zero vector.

Takemura · September 11, 2022, 1:01pm

Let me see how the function is coded, but in general it should work regardless.

Edit: The function pretty much seems to be Dot and Cross like on car example, and from math side I don’t see a reason why angle would be different when a normal is given, that determines perspective for the angle between two vectors. But I might miss some cases here. Related code:

github.com

BabylonJS/Babylon.js/blob/master/packages/dev/core/src/Maths/math.vector.ts

/* eslint-disable @typescript-eslint/naming-convention */
import { Scalar } from "./math.scalar";
import { Epsilon } from "./math.constants";
import type { Viewport } from "./math.viewport";
import type { DeepImmutable, Nullable, FloatArray, float } from "../types";
import { ArrayTools } from "../Misc/arrayTools";
import type { IPlaneLike } from "./math.like";
import { RegisterClass } from "../Misc/typeStore";
import type { Plane } from "./math.plane";
import { PerformanceConfigurator } from "../Engines/performanceConfigurator";
import { EngineStore } from "../Engines/engineStore";

type TransformNode = import("../Meshes/transformNode").TransformNode;

// eslint-disable-next-line @typescript-eslint/naming-convention
const _ExtractAsInt = (value: number) => {
    return parseInt(value.toString().replace(/\W/g, ""));
};

/**

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Angle between two lines

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