Answer
Projection onto xy-plane $(2,3,0)$
Projection onto yz-plane $(0,3,5)$
Projection onto xz-plane $(2,0,5)$
Diagonal Length: $6.164$
Work Step by Step
Orthographic projection of $(2,3,5)$:
i) onto xy-plane $(2,3,0)$
ii) onto yz-plane $(0,3,5)$
iii) onto xz-plane $(2,0,5)$
Diagonal Length: $\sqrt{x^2+y^2+z^2}=\sqrt{2^2+3^2+5^2}=\sqrt{38}\approx 6.164$