c++ - Finding scalar in a vector equality programatically -
i have 2 vectors v1 , v2 equality x*v1 = v2 both v1 , v2 known time need determine x. know certainty there single x solves equation. by hand can set system of equations x. in fact don't need gaussian elimination since it's such simple setup. led me try x = v2.x / v1.x. can lead division zero. i'm writing in c++ if that's important. thanks! the asker’s own solution flawed, because fail if (v1.x + v1.y + v1.z) adds zero: x = (v2.x + v2.y + v2.z) / (v1.x + v1.y + v1.z) here correct solution problem: x = (v2.x * v1.x + v2.y * v1.y + v2.z * v1.z) / (v1.x * v1.x + v1.y * v1.y + v1.z * v1.z);