Exercise 5

Give a vector description of each.

• the plane subset of $\mathbb{R}^{3}$ with equation $x-2y+z=4$

• the plane in $\mathbb{R}^{3}$ with equation $2x+y+4z=-1$

• the hyperplane subset of $\mathbb{R}^{4}$ with equation $x+y+z+w=10$