Hi please give a full solution Let W denote the set {(x, y, z) e Rº...
1 point) Let V R2 and let H be the subset of V of all points on the line-4x-3y-0. Is H a subspace of the vector space V? 1. Does H contain the zero vector of V? | H does not contain the zero vector of V | 2. Is H closed under addition? If it is, enter CLOSED. If it is not, enter two vectors in H whose sum is not in H, using a comma separated list and...
Let V be the set of vectors shown below. V= [] :x>0, y>0 a. If u and v are in V, is u + v in V? Why? b. Find a specific vector u in V and a specific scalar c such that cu is not in V. O A. The vector u + v may or may not be in V depending on the values of x and y. OB. The vector u + y must be in V...
1. Let F(x, y, z) = (-y + ,2-2,2-y), and let S be the surface of the paraboloid 2 = 9-32 - v2 for 2 > 0. oriented by an upward pointing normal vector. Note that the boundary of S is C, the circle of radius 3 in the xy-plane. Verify Stokes' Theorem by computing both sides of the equality: (a) (1 Credit) || (D x F). ds (b) (1 Credit) $F. dr
Let V be the set of vectors shown below. VE :x>0, a. If u and are in V, is u +v in V? Why? b. Find a specific vector u in V and a specific scalar c such that cu is not in V. a. If u and v are in V, is u + v in V? O A. The vector u + v may or may not be in V depending on the values of x and y....
Problem #9: Let V be the set of all ordered pairs of real numbers (uj,u) with up > 0. Consider the following addition and scalar multiplication operations on u = (U1, u) and v = (v1, v2): u + v = (U1 + V1 +4,5u2v2), ku = (kuj, kuz) Use the above operations for the following parts. (a) Compute u + v for u =(4,4) and v = (3,2). (b) If the set V satisfies Axiom 4 of a vector...