Geometrically, the span of two non-parallel vectors in #R^3# is? one octant a line a point the whole 3-space a plane

Geometrically, the span of two non-parallel vectors in R3 is?
one octant
a line
a point
the whole 3-space
a plane

1 Answer
Ultrilliam
May 15, 2018

#"a plane"#

Explanation:

A summary definition:

  • A set of vectors spans a space if their linear combinations fill all of that space .

2 linearly independent vectors in #mathbb R^3# simply means 2 arrows, with tails at the origin, pointing out in different directions in #mathbb R^3# .

These 2 vectors in #mathbb R^3# can only span a plane.

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