The process of projecting one vector onto another involves identifying the part of the first vector that runs in the same direction as the second one. This is typically determined through the formula proj_b(a) = [(a.b) / ||b||^2] * b. In this equation, a and b stand for vectors, "." denotes the dot product, and "||" is an indication of the magnitude.
| Topic | Problem | Solution |
|---|---|---|
| None | Find the scalar magnitude of the projection of $2… | Find the dot product of the two vectors: \(\vec{a} \cdot \vec{b} = (2)(1) + (-3)(-1) + (4)(0) = 5\) |
| None | QUESTION2 A character wishes to collect an item t… | Let the camera position be \(C(2, 2)\), the item position be \(I(3, -7)\), and the boundary vectors… |