Show that the given set V is closed under addition and multiplication by scalars and is therefore a subspace of Rof R³.V is the set of allLet a =a+b=XX+++y0and b =x+uy+v0such that z=0.u0be two vectors in V. Find their sum a + b.(Simplify your answer.)The vector sum a + baddition.(Type an integer or a fraction.)an element of the set V because itits third component equal toTherefore, V is closed under

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how that the given set V is closed under addition and multiplication by scalars and is therefore a subspace of R. is the set of all et a = X ххо X 0 y Z y and b = such that z = 0. u V 0 be two vectors in V. Find their sum a + b. x+u +b= y+v (Simplify your answer.) 0 ne vector sum a + b ddition. ype an integer or a fraction.) ▼an element of the set V because it its third component equal to Therefore, V is closed und

how that the given set V is closed under addition and multiplication by scalars and is therefore a subspace of R. is the set of all et a = X ххо X 0 y Z y and b = such that z = 0. u V 0 be two vectors in V. Find their sum a + b. x+u +b= y+v (Simplify your answer.) 0 ne vector sum a + b ddition. ype an integer or a fraction.) ▼an element of the set V because it its third component equal to Therefore, V is closed und

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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