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Vector spaces
Recognising a subspace
MCQ
Which of these subsets of R³ is a vector subspace?
Possible answers
{
(
x
;
y
;
z
)
tels que
x
+
2
y
−
z
=
1
}
\{(x \,;\, y \,;\, z) \text{ tels que } x + 2y - z = 1\}
{(
x
;
y
;
z
)
tels que
x
+
2
y
−
z
=
1
}
{
(
x
;
y
;
z
)
tels que
x
+
2
y
−
z
=
0
}
\{(x \,;\, y \,;\, z) \text{ tels que } x + 2y - z = 0\}
{(
x
;
y
;
z
)
tels que
x
+
2
y
−
z
=
0
}
{
(
x
;
y
;
z
)
tels que
x
≥
0
}
\{(x \,;\, y \,;\, z) \text{ tels que } x \geq 0\}
{(
x
;
y
;
z
)
tels que
x
≥
0
}
{
(
x
;
y
;
z
)
tels que
x
2
+
y
2
+
z
2
=
1
}
\{(x \,;\, y \,;\, z) \text{ tels que } x^2 + y^2 + z^2 = 1\}
{(
x
;
y
;
z
)
tels que
x
2
+
y
2
+
z
2
=
1
}
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