Let u be the magnitude 5 directed towards the north of v of magnitude 3 directed...

Let u be the magnitude 5 directed towards the north of v of magnitude 3 directed 20°W of N. Specify the vectors: uv, vu, uu, u(v + u), and -2u(7v).

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genius_generous answered 2 years ago

Let U and V be vector spaces, and let L(V,U) be the set of all linear...

Let U and V be vector spaces, and let L(V,U) be the set of all linear transformations from V to U. Let T_1 and T_2 be in L(V,U),v be in V, and x a real number. Define vector addition in L(V,U) by (T_1+T_2)(v)=T_1(v)+T_2(v) , and define scalar multiplication of linear maps as (xT)(v)=xT(v). Show that under these operations, L(V,U) is a vector space.

Let U be a subspace of V . Prove that dim U ⊥ = dim V...

Let U be a subspace of V . Prove that dim U ⊥ = dim V −dim U.

Let V be a vector space and let U and W be subspaces of V ....

Let V be a vector space and let U and W be subspaces of V . Show that the sum U + W = {u + w : u ∈ U and w ∈ W} is a subspace of V .

Let u and v be two integers and let us assume u^2 + uv +v^2 is...

Let u and v be two integers and let us assume u^2 + uv +v^2 is divisible by 9. Show that then u and v are divisible by 3. (please do this by contrapositive).

A vector A with |A| = 5 at P (0, 1, 1) and directed towards the...

A vector A with |A| = 5 at P (0, 1, 1) and directed towards the origin in vector form in the Cartesian coordinates is _____________________.

Let G = (V, E) be a directed graph, with source s ∈ V, sink t...

Let G = (V, E) be a directed graph, with source s ∈ V, sink t ∈ V, and nonnegative edge capacities {ce}. Give a polynomial-time algorithm to decide whether G has a unique minimum s-t cut (i.e., an s-t of capacity strictly less than that of all other s-t cuts).

A uniform electric field of magnitude 240 V/m is directed in the positive x direction. A...

A uniform electric field of magnitude 240 V/m is directed in the positive x direction. A +13.0 µC charge moves from the origin to the point (x, y) = (20.0 cm, 50.0 cm). (a) What is the change in the potential energy of the charge field system? J (b) Through what potential difference does the charge move?

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Let u be the magnitude 5 directed towards the north of v of magnitude 3 directed...

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