vector space over the scalar field R. Find the following: the sum: -5田8= the scalar multiple: 9 0 -5 = the zero vector: Oy the additive inverse of æ: Bx =
vector space over the scalar field R. Find the following: the sum: -5田8= the scalar multiple: 9 0 -5 = the zero vector: Oy the additive inverse of æ: Bx =
vector space over the scalar field R. Find the following: the sum: -5田8= the scalar multiple: 9 0 -5 = the zero vector: Oy the additive inverse of æ: Bx =
Let V=R. For u,v∈V and a∈R define vector addition by u⊞v:=u+v+2 and scalar multiplication by
Transcribed Image Text:a Ou := au + 2a – 2. It can be shown that (V, H,0) is a
vector space over the scalar field R. Find the following:
the sum:
-5 H 8 =
the scalar multiple:
9 O -5 =
the zero vector:
Oy
the additive inverse of x:
Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.
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