Let V = R². For (u₁, U2), (v₁, v₂) € V and a R define vector addition by (u₁, 2) = (v₁, v₂) := (U1₁ + v₁ + 3, u2 + v₂ +

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Let V R For U U2 V V V And A R Define Vector Addition By U 2 V V U1 V 3 U2 V 1 (42.26 KiB) Viewed 41 times

Let V = R². For (u₁, U2), (v₁, v₂) € V and a R define vector addition by (u₁, 2) = (v₁, v₂) := (U1₁ + v₁ + 3, u2 + v₂ + 2) and scalar multiplication by a (u₁, ₂) = (au₁ + 3a − 3, au₂ + 2a − 2). It can be shown that (V, E, O) is a vector space over the scalar field R. Find the following: the sum: (-7,-4) (9, 7) =( 5.5 the scalar multiple: -70 (-7,-4) =( 25 12 the zero vector: Oy =( 22 - x 10-y the additive inverse of (x, y): B(x, y) =