<u>Span{u, v} </u><u>contains the lines through u and v. But Span{u, v} also contains </u><u>u + v </u><u>which does not </u><u>lie on either line.</u>
A vector basic definition What is it?
A quantity or phenomena with independent qualities for both magnitude and direction is called a vector.
The term can also refer to a quantity's mathematical or geometrical representation. Velocity, momentum, force, electromagnetic fields, and weight are a few examples of vectors in nature.
False, If the vectors are said to span, then they encompass the area enclosed by au + bv, where a and b are real values.
The line between u + v and the origin is a straightforward counterexample.
This would be referred to as a plane via u, v, and the origin since it contains all possible combinations of u and v as well as multiples of each.
