Q13Comprehension1 Mark25 Feb 2024PassageLet V={(x,y,5):x,y∈R}V=\{(x,y,5):x,y\in\mathbb{R}\}V={(x,y,5):x,y∈R}. Define addition and scalar multiplication by (x1,y1,5)+(x2,y2,5)=(x1+x2,y1+y2,5)(x_1,y_1,5)+(x_2,y_2,5)=(x_1+x_2,y_1+y_2,5)(x1,y1,5)+(x2,y2,5)=(x1+x2,y1+y2,5) and c(x,y,5)=(cx,cy,5)c(x,y,5)=(cx,cy,5)c(x,y,5)=(cx,cy,5) for c∈Rc\in\mathbb{R}c∈R. Answer the given subquestions with respect to the given information.Is the set VVV closed under addition?AYesBNo
