Find u · v, v· v, ||u||2, (u · v)v, and u · (5v). u = (-3, 4), v = (3, 2) (a) u. v (b) v. v (c) (d) (u· v)v (e) u. (5v)

Q: Find u - v, u · u, ||v||², (u - v)v, and u - (3v). u = 4i + j - 2k, v = i - 3j + 2k (a) u: v (b) u.…

A: Dot product of two vector is - a→=  a1i^ +  a2j^ +  a3k^ b→=  bi^ +  b2j^ +  b3k^ a→.b→ =  a1 b1 +…

Q: Find u v, uu, |v||2, (u v)v, and u. (3v). . u = 8i + j - 3k, v = i - 4j + 3k (a) u. V (b) u. U (c)…

A: This question is related to vectors, we will solve it using given information.

Q: Solve for w where u = (0, 1, 1, –1) and v = (3, 0, –1, 2). %3D w + 2v = -4u W =

A:

Q: Find ||u||, |v||, and ||u + v||. u = (-1, 1, -2, 0), v = (4, 1, 0, 1) (a) ||u|| (b) ||v|| (c) ||u +…

A:

Q: Write v as a linear combination of u,, u,, and u,, if possible. (Enter your answer in terms of u,,…

A:

Q: If u = 2i - 3j + k and v = i + j - k, then u x v is:   (2, 5, 3) (2, 5, -3) (2, 3, 5) (2, -3, -5)…

A:

Q: E (u, v) = (u – v², u² + 1, v²) |

A:

Q: Write v as a linear combination of u1, u2, and u3, if possible.v = (0, 5, 3, 0), u1 = (1, 1, 2, 2),…

A:

Q: f(x, y, z) = 3x²y - 5xyz + 7yz2 2. f,(x, y, z) = f,xx, y, z) = f(x, y, z) =

A: Given query is to find the partial derivative for the given function f(x,y,z).

Q: Write v as a linear combination of u, u2, and u3, possible. (If not possible, enter IMPOSSIBLE.) =…

A: We will find out the required value.

Q: af Find and ду f(x, y) = y +1 x+y

A: Explanation of the solution is given below....

Q: Write v as a linear combination of u1, u2, and u3, if possible. (Enter your answer in terms of u1,…

A:

Q: Find (a) ||u||, (b) ||v||, (c) u ∙ v, and (d) d(u, v).u = (1, −2, 2, 0), v = (2, −1, 0, 2)

A:

Q: U, +u, =0, 0<x<∞ 0<y<b ( u(0, y) = f(y), u(00, y) = 0 , , u(x,0) = 0 u(x,b) =0

A: Solving the partial differential equation by separation of variables.

Q: नर १U५ %3D 2.

A:

Q: Write v as a linear combination of u1, U2, and u3, if possible. (If not possible, enter IMPOSSIBLE.)…

A:

Q: u = x² + y³ + z*, X = s•t = s2 +t2 y = z = s-t

A: We find complex function

Q: Find u · (v x w). u = (4, 0, 0) v = (9, 9, 9) (0, 4, 4) w %3D

A:

Q: . v=(0,5,3,0), u1=(1,1,2,2), u2=(2,3,5,6), u3=(-3,1,-4,2)

A: NOTE: As per Bartleby rules only one question will be answered. Please upload others separately.…

Q: af Find if f(x,y) = ysin xy

A:

Q: Find ||u||, ||v||, and ||u + v||. u = -2, V = 5, (a) ||u|| (b) ||v|| (c) ||u + v||

A:

Q: Write v as a linear combination of u,, u2, and uz, if possible. (If not possible, enter IMPOSSIBLE.)…

A:

Q: Find u · v, u· u, ||v||², (u · v)v, and u (3v). u = (2, 10), v = (-3, 2) %3D (a) U V (b) U U (c)…

A:

Q: Determine values of x and y so that v · w = 0 and v · u =

A: There are vector representation given as, v=x1y , w=x-20  and u=0-9y. To find the value of  x  and y…

Q: Find u· (v X w). 22. u = (1, -2, 2), v = (0, 3, 2), w = (-4, 1, -3)

A: Given that  u=(1,-2,2) v=(0,3,2) w=(-4,1,-3) To find u.(v*w)

Q: Find ||u||, |v||, and ||u + v||. u (-1, 1, -2, 0), v = (4, 1, 0, 1) (a) ||u|| (b) ||v|| (c) ||u +…

A:

Q: Write v as a linear combination of u1, u2, and u3, if possible. v = (3, 0, −6), u1 = (1, −1, 2), u2…

A:

Q: (d) F = R, V = {ve R²: v+v ≤ 0}; * (e) F = C, V = {ve C²: v² - 2v₁v2 + ² = 0}; (f) F= C, V = R²;

A:

Q: af If f (x, y) = x³y² – y³x² then Je ax ду

A:

Q: linean trensformabe which af the Pollowing ý a Pixiyiz) =(xyt, x+y, x+2, YtZ) PXIYA) =(2x,2y 12Z,…

A: Note:- 1) Due to our guidelines we can solve only 1 question. 2) In question 1) there is a…

Q: f(x,y)= exsin (y), fx(x,y)

A:

Q: x (u, v) = (u – v² ², u² + 1, v²) %3| |

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find u - v, 2(u + 3v), and 2v - u. | u = (4, 0, -2, 5), v = (0, 6, 5, 4) %3D (a) u – v = (b) 2(u +…

A:

Q: Find ||u||, ||v||, and ||u + v||. (1, -2, 0, 2), v = (0, 3, 2, 1) u = (a) ||u|| (b) ||v|| (c) ||u +…

A: A vector is a quantity that has both magnitude and direction. It can be also defined as the…

Q: Write v as a linear combination of u1, u2, and u3, if possible.v = (−1, 7, 2), u1 = (1, 3, 5), u2 =…

A:

Q: Find ||u||, ||v||, u-v, and d(u, v). u = (-1, 3), v = (3, 4) (a) ||u|| (b) ||v| (c) u. V (d) d(u, v)

A: We have to find u , v , u·v , and d(u, v) where u=(-1, 3) and v=(3, 4) .

Q: u =(1, v = (3, 8) (a) |||| (b) |||| (c) ||u + v|| (d) ||u| V (e) u + v (f) u + v

A: For vectors u=&lt;u1,u2&gt; and v=&lt;v1,v2&gt; then u+v=&lt;u1+v1,u2+v2&gt;  and ||u||=u12+u22

Q: u:(x, t) = Uzz(x, t) u(0, t) = u(1,t) = 0 u(x,0) = f(x)

A:

Q: Write v as a linear combination of u1, u2, and u3, if possible. v = (1, 2, 3, 5), u1 = (1, 2, 3, 4),…

A: Consider the given information, v = (1, 2, 3, 5), u1 = (1, 2, 3, 4), u2 = (−1, −2, −3, 4), u3 = (0,…

Q: Let u1 = (4, -2, 1), u2 = (6,3,2) , u3 = (-2,-1,3) find the linear combination v= u1 - 3u2+ 4u3

A:

Q: Use Cramer's rule to solve the set of linear equations x-2y- 3z =-1 3x + y-z =9 - 4x + 2y +z = 2

A: Here we have to use Cramer's rule to solve the set of linear equations.…

Q: Find u × v, v × u, and v × v. u = v =

A: The two vectors a→=⟨a1,a2,a3⟩and b→=⟨b1,b2,b3⟩, then the cross product is given by the formula,…

Q: u (0, y) = F(y), u(a, y) = G(y) u(z,0) = f(x). u(x, b) = g(x)

A: Sol

Q: Write v as a linear combination of u₁, ₂, and u3, if possible. (If not possible, enter IMPOSSIBLE.)…

A:

Q: f(x,y)=21 (x+y), x=1,2,3, ; y=1,2 0 , d.d.

A: Given :- fx,y = 121(x+y)        x=1,2,3 and y=1,2 we have to calculate cov(x,y)     Formula:- Covx,y…

Q: Write v as a linear combination of u1, u2, and u3, if possible. 1. u1=(1,1,2,2), u2=(2,3,5,6),…

A: Given: v=0,5,3,0 , u1=1,1,2,2, u2=2,3,5,6 , u3=-3,1,-4,2 To determine: vas a linear combination of…

Q: u(0,t) = u(3,t)=0, t≥0 x 0<x<1 u(x,0) = 2-x 1<x<3

A:

Q: Write v as a linear combination of u,, u,2, and u,, if possible. (Enter your answer in terms of u,,…

A:

Q: write v as a linear combination of u1, u2, u3, if possible. v=(0,5,3,0), u1=(1,1,2,2),…

A:

Q: Find u. (v x w). (6, 6, 6) (1, 7, 0) - (0, 0, 1) > 3

A: Given that,u=6,6,6v=1,7,0w=0,0,1