3A software engineer develops an augmented reality application where a virtual object’s position in 3D space is defined by the parametric equations $x(t) = 2t + 1$, $y(t) = -t + 4$, $z(t) = 3t - 2$. At what value of $t$ does the object’s path cross the plane $x + y + z = 15$?

Sun, 03 May 2026 07:13:38 +0000

Content under review