Find the dimension and a basis for the solution space. (If an answer does not exist, enter DNE for the dimension and in any cell of the vector.) 2x₁ + 4x₂ - 4x3 + 2x4 = 18 3x₁2x₂ + 2x3 - 5x4 = 35 X3 + 4x4 = 1 4X₁ + X₂ 2 X dimension basis X 0 1 1 0 ↓ 1 5 5 0 -6

Q: Find u v. u = i - 9j v = -4i + j u v =

A: We can solve this as follows:

Q: Find the coordinate vector of p relative to the basis S = {P1 P2 P3} for P2. p = 30 - 30x + 12x²; p₁…

A:

Q: Determine whether v and w are orthogonal given v=-5i+2j and w=2i-4j

A:

Q: Use index notation to derive the following vector identities: (a) a (bx c) = b. (cxa) = c (ax b); .…

A: Given information: a→,b→, and c→ are vectors.To…

Q: What is the component form of v?

A:

Q: How long is the shadow cast by a 540-foot tower when the sun's rays follow the vector [6,10,-27]?…

A:

Q: vectors

A: We have to define vectors.

Q: 11. Let y be a non-trivial solution of the boundary value problem y" + xy = 0, x e[a, b], y(a) = y…

A:

Q: Find u · v. (7, 9) v = (-2, 4) V u.v u:v =

A:

Q: Find v-u. v=4i-7j and u= -9i+2j OA. -5i-5j OB. -50 O C. -36i-14j OD. -22

A: Given: v= 4i - 7j u= -9i+2j

Q: what is the linear combination of  u⃗  and v⃗ ?

A:

Q: Show that ā b 12

A:

Q: Topic : Vector

A:

Q: Find the magnitude of the vector y = 2i-2i. v =

A: Given,           v=2i-2j