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Let V = R2. For (vị , v2), (W1, w2) E V and k ER define vector addition by: (vi, v2) O (W1, w2) := (v +w - 5, v2 + w2) and scalar multiplication by : ko (vi,v2) := (kv - 5k + 5, kvz). It can be shown that (V, . D) is a real vector space (all 10 axioms are true). Computer the following: the sum: (3, 3) (3,-4) =( the scalar multiple: -5 0 (3, 3) =( the zero vector: Oy =( the additive inverse of (x, y): e(x, y) =(

Let V = R2. For (vị , v2), (W1, w2) E V and k ER define vector addition by: (vi, v2) O (W1, w2) := (v +w - 5, v2 + w2) and scalar multiplication by : ko (vi,v2) := (kv - 5k + 5, kvz). It can be shown that (V, . D) is a real vector space (all 10 axioms are true). Computer the following: the sum: (3, 3) (3,-4) =( the scalar multiple: -5 0 (3, 3) =( the zero vector: Oy =( the additive inverse of (x, y): e(x, y) =(

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 46E
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(please solve within 15 minutes I will give thumbs up thanks)
Let V = R2. For (vị , v2), (W1, w2) E V and k ER define vector addition by : (vi, v2) O (w1, w2) := (v + w-5, v2 + w2) and scalar multiplication by : ko (vi, v2) := (kvi - 5k + 5, kvz). It can be shown that (V, B. O) is a real vector space (all 10 axioms are true). Computer the following: the sum: (3, 3) (3,-4) =( the scalar multiple: -5 0 (3, 3) =( the zero vector: Oy =( the additive inverse of (x, y): e(x, y) = Verify that the following Axioms are true: • Axiom 4. • Axiom 5. • Axiom 7. * For these three axioms, you must submit the complete solutions in MOODLE. *
Transcribed Image Text:Let V = R2. For (vị , v2), (W1, w2) E V and k ER define vector addition by : (vi, v2) O (w1, w2) := (v + w-5, v2 + w2) and scalar multiplication by : ko (vi, v2) := (kvi - 5k + 5, kvz). It can be shown that (V, B. O) is a real vector space (all 10 axioms are true). Computer the following: the sum: (3, 3) (3,-4) =( the scalar multiple: -5 0 (3, 3) =( the zero vector: Oy =( the additive inverse of (x, y): e(x, y) = Verify that the following Axioms are true: • Axiom 4. • Axiom 5. • Axiom 7. * For these three axioms, you must submit the complete solutions in MOODLE. *
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