import Vector2d from './Vector2d';
export default class Vector3d {
    readonly x: number;
    readonly y: number;
    readonly z: number;
    constructor(x?: number, y?: number, z?: number);
    /**
     * Creates a new Vector3d instance with the same x, y, and z values as the current vector.
     * @returns A new Vector3d instance.
     */
    clone(): Vector3d;
    /**
     * Adds another vector to the current vector and returns the result as a new vector.
     * @param vector - The vector to be added.
     * @returns The sum of the two vectors as a new Vector3d instance.
     */
    add(vector: Vector3d): Vector3d;
    /**
     * Subtracts another vector from the current vector and returns the result as a new vector.
     * @param vector - The vector to be subtracted.
     * @returns The difference between the two vectors as a new Vector3d instance.
     */
    subtract(vector: Vector3d): Vector3d;
    /**
     * Multiplies the vector by a scalar value and returns the result as a new vector.
     * @param scalar - The scalar value to multiply the vector by.
     * @returns The vector multiplied by the scalar value as a new Vector3d instance.
     */
    multiply(scalar: number): Vector3d;
    /**
     * Divides the vector by a scalar value and returns the result as a new vector.
     * @param scalar - The scalar value to divide the vector by.
     * @returns The vector divided by the scalar value as a new Vector3d instance.
     * @throws Throws an error if the scalar value is 0.
     */
    divide(scalar: number): Vector3d;
    /**
     * Calculates the magnitude (length) of the vector.
     * @returns The magnitude of the vector.
     */
    magnitude(): number;
    /**
     * Normalizes the vector to have a magnitude of 1 and returns the result as a new vector.
     * @returns The normalized vector as a new Vector3d instance.
     * @throws Throws an error if the vector is a zero vector (magnitude is 0).
     */
    normalize(): Vector3d;
    /**
     * Calculates the dot product of the current vector and another vector.
     * @param vector - The other vector.
     * @returns The dot product of the two vectors.
     */
    dotProduct(vector: Vector3d): number;
    /**
     * Calculates the cross product of the current vector and another vector.
     * @param vector - The other vector.
     * @returns The cross product of the two vectors as a new Vector3d instance.
     */
    crossProduct(vector: Vector3d): Vector3d;
    /**
     * Calculates the angle in radians between the current vector and another vector.
     * @param vector - The other vector.
     * @returns The angle between the two vectors in radians.
     */
    angleTo(vector: Vector3d): number;
    /**
     * Determines if the current vector is parallel to another vector.
     * @param vector - The other vector.
     * @returns True if the vectors are parallel, false otherwise.
     */
    isParallelTo(vector: Vector3d): boolean;
    /**
     * Determines if the current vector is perpendicular (orthogonal) to another vector.
     * @param vector - The other vector.
     * @returns True if the vectors are perpendicular, false otherwise.
     */
    isPerpendicularTo(vector: Vector3d): boolean;
    /**
     * Returns a vector with the absolute values of the original vector's components.
     * @returns {Vector3d} - A new Vector2d object with absolute values.
     */
    abs(): Vector3d;
    /**
     * Checks if the vector is equal to another vector.
     * @param {Vector3d} vector - The vector to compare with.
     * @returns {boolean} - True if the vectors are equal, false otherwise.
     */
    equals(vector: Vector3d): boolean;
    /**
     * Converts the vector to an array representation.
     * @returns An array containing the x, y, and z components of the vector.
     */
    toArray(): number[];
    /**
     * Returns a string representation of the vector in the format "(x, y, z)".
     * @returns A string representation of the vector.
     */
    toString(): string;
    /**
     * Creates a new Vector3d instance from an array representation.
     * @param arr - An array containing the x, y, and z components of the vector.
     * @returns A new Vector3d instance created from the array.
     * @throws Throws an error if the array length is not 3.
     */
    static ofArray(arr: number[]): Vector3d;
    static of2d(other: Vector2d): Vector3d;
}