kayl669 said:I have a problem that I have no way of solving on my own. I would like to know how to move a 3-dimensional object long the surface of a 3-D sphere and have it move in the direction it is facing, relative to the surface. Can someone please help me? I am not very good at math but am trying. What I know so far is very basic vector math, like sine/cosine, angles between vectors etc. I would really appreciate any help you could give me.
Vectors are mathematical objects that have both magnitude (size) and direction. They are often represented as an arrow on a coordinate plane. Vectors are used in many different fields, including physics, engineering, and computer graphics, to describe the movement or force of an object.
The magnitude of a vector can be calculated using the Pythagorean theorem, where the length of the vector is equal to the square root of the sum of the squares of its components. For example, if a vector has components (3,4), its magnitude would be √(3² + 4²) = 5.
A scalar is a quantity that has only magnitude, while a vector has both magnitude and direction. Speed is an example of a scalar, while velocity is a vector as it includes both speed and direction.
The angle between two vectors can be found using the dot product formula, where the angle (θ) is equal to the inverse cosine of the dot product of the two vectors divided by the product of their magnitudes. θ = cos⁻¹((a·b)/(|a|*|b|)).
A 2D vector has two components, usually represented as (x,y), while a 3D vector has three components, usually represented as (x,y,z). In 2D, vectors can only move in the x and y directions, while in 3D, vectors can also move in the z direction.