let u=(8,0,-8) v=(8,3,16) find Il v||

Q: if x=u(1-v),y=(uv) then verify that a(u,v) a(x,y). =1 a(x,y)'a(u,v)

A: Given x=u1−v and y=uv We have to verify ∂u,v∂x,y⋅∂x,y∂u,v=1 Solve x=u1−v and y=uv for u and v, we…

Q: a u, (00) = Utt , и (0, t) — 0, и (т, t) — 0, (t>0) и (х, 0) %3D0, (0<x<n, и, (х, 0) %3 * (т—г),…

A: We need to find the solution to the threshold problem in the next wave equation by the variable…

Q: Express the following: as a linear combination of u = (2, 1, 4), v = (1, -1, 6) and w = (2, 2, 8).…

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Q: Find the component of u along v. u - (-2, 4), v- (1//7, 1/v2)

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Q: Write v as a linear combination of u, u2, uz, where (a) v = (4, –9, 2), u = (1,2, –1), uz = (1,4,2),…

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Q: Find the distance between u and v. u = (-1, 0, 0, 4), = (0, 0, 4, 4) V =

A: Distance between two vectors can be calculated by subtracting the vectors and taking the square root…

Q: Show that (u×v)· w = u ·(v×w).

A: As we know that, Multiplication is an Associative Property, i.e. (a x b).c=a.(b x c) and Sometimes…

Q: Let u = (2,3, 1), v = (1,3,0), and w = (2,23, 3). Since (1\2)u – (2\3)v – (1\6)w = (0,0,0), can we…

A: No we can't

Q: Let ū = (4, –2), ū = (-2,0), and w = (2, 2). Find the vector x that satisfies Tu – u +x = 5x + w. In…

A: Given Let Plugging the values in the equation:

Q: If vector u =(7,6) and v= (-3,5) then  Find u•v

A: Given ,  If vector  u = (7,6)  v = (-3,5)  We have to find dot product u•v

Q: U = kuzx for 0 0, u(0, t) = u(L, t) = 0, u(x, 0) = x(L – x)

A: Given that, ut=kuxx , 0&lt;x&lt;L, t&gt;0u0, t=uL,t=0ux, 0=xL-x This is  the heat conduction problem…

Q: A normal vector to the graph of z = r²y at the point (2, 1, 4) is Select one: (4, 4, 1) О -4, -4, 1)…

A:

Q: Find the distance between u and v.u = (0, 1, −1, 2), v = (1, 1, 2, 2)

A: Given:U=(0,1,−1,2)V=(1,1,2,2)To determine the distance betweenU and V.

Q: Let = (0,- 2)v=(3,2) and w=(-2,1) Then the dot product u. (V w) is equal to

A:

Q: Compute x 2z ds where C is the line segment C from (0,6,–1) to (4,1,5).

A: The given line segment from   to   can be represented parametrically as: , , and , for    Using the…

Q: Verify the Cauchy-Schwarz Inequality for u = (1, −1, 3) and v = (2, 0, −1).

A: u = (1, −1, 3) and v = (2, 0, −1) To verify the Cauchy-Schwartz Inequality for the given set of…

Q: if x=u(1-v),y=(uv) then verify that a(u,v) a(x,y)_1 a(x,y) a(u,v)

A:

Q: find u ·v. u= [ 1,√2,√3, o],v= [ 4, -√2,0,-5]

A:

Q: Is the set S linearly independent? Yes No

A: We have to find

Q: find the projection of u along v u = (2, 5), v = (1, 1)

A: u=2,5 and v=1,1

Q: Represent the line segment from P to Q by a vector-valued function. P(7, 0, 9), Q(6, −6, 7) r(t)…

A: Given: Represent the line segment from P to Q by a vector-valued function. P(7, 0, 9), Q(6, −6, 7)…

Q: 1 Let u1 = 3 U2 = -1 , Uz = ,X = then write x as sum of two vectors -3 3 on in span {u1} and other…

A: Given, u1=1101 u2=-13-1-2 u3 = 101-1 x=1-1-33

Q: Prove that f, uv v • dỉ = – §̟ vũu • dĩ

A: Whenever the force is conservative in nature the work done over the closed loop is always zero. i.e…

Q: compute the component of u along v. u = (3, 0, 9), v = (1, 2, 2)

A: the given vectors are: u=3,0,9v=1,2,2 we have to compute the component of u along v.

Q: find the projection of u along v  u = (1, 1, 1), v = (1, 1, 0)

A: the given vectors are: u=1,1,1v=1,1,0 we have to find the projection of u along v.

Q: Find the projection of u along v. u =〈2, -3〉, v =〈1, 2〉

A: Given: u =〈2, -3〉, v =〈1, 2〉 To find the projection of u along v

Q: Let v1 = (1,1,2) v2= (-1, 2, -2) v3= (-2,-1,1). Write u = (6,7,2) as a linear combination of v1 v2…

A:

Q: Let f(x,y,z) = x² e Vy*+ Compute f(3, - 5,3) and f(5,8, - 6).

A: Given that     f(x,y,z) = x2 e√(y^2+z^2)

Q: д(х, у) Find the Jacobian of the Ə(u, v)

A:

Q: Let F I2). Evaluate JJaw as z² + y? 0

A: In the given question, the concept of the Divergence Theorem is applied. Divergence Theorem Assume S…

Q: uz = 1, u2 Uz = u4 u7 -7 , us Compute projs u2, where s = span{u3, U4}.

A:

Q: Find the distance between u and v.u = (1, 2, 0), v = (−1, 4, 1)

A: Distance between the two points :P1x1,y1,z1P2x2,y2,z2d=x2-x12+y2-y12+z2-z12d→distance

Q: Let ū = (3,2), v = (-2, –2), and w = (-4,3). Find the vector x that satisfies 5u – v +x = 7x + w. |…

A: Given that u→=3,2v→=-2,-2w⇀=-4,3

Q: 2- Find x, y, z, u, t, v such that 2 3 8. 3 5 +2 9 8 14 a) X =-6, y = -1,Z = -1, u = 1,t=2,v= 2 %3D…

A: xyzutv+2123456=8359814   To find : the value of x, y, z, u, t

Q: Find the distance between u and v. u = (-2, -1, 1, 2), v = (-1, –1, 2, 2) d(u, v)

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Q: U₁ + Ux+Vx = 0, v₁ + UxVx = 0, u(x, 0) = u(x), v(x,0) = vo(x).

A: Given clear explanation below.

Q: Prove (u x v)' = u' x v + u x v

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Q: Let C: |z-i=3 and I = §. dz 2z dz. Then %3D

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Q: Find (a) u × v, (b) v × u, and (c) v × v. u = (−1, −1, 1), v = (−1, 1, −1)

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Q: Let f(x, y, z) = xyt + z3 and x = st², y = s³t² , and

A: The given function is fx,y,z=xy4+z3 and the values of x, y, and z are st2, s3t2, and s2t2…

Q: Prove that u, v, w ∈ R3     and [ u x v, v x w, w x u] = [ u, v, w]2

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Q: Find w such that 2u + v u 3w = 0. (0, 2, 7, 5), v = (-8, 4, -3, 1) 1 -- (-) W = 3 -

A:

Q: Let u = (1, 1), v = (3, -2), w = (4, 3), and y = ( map from R² -3, 4). Let L be a linear | to R?…

A: We know Let  Given

Q: Let u=0,3,3 and v=32,3,3. Compute u×v. Then sketch u​, v​, and u×v.

A:

Q: If f = ux+v-y, g=u²+vy+ w and O(f.g,h) ô(11,v, w) h= zu -v+ vw compute

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Q: Find, ∂f/∂u (deltaf/deltau) and  ∂f/∂v (deltaf/deltav) in terms of u and v if, f(x,y)=y/x and and…

A: Find, ∂f/∂u (deltaf/deltau) and  ∂f/∂v (deltaf/deltav) in terms of u and v if, f(x,y)=y/x and and x=…

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

Q: The normal vector of 2x + 3y - z + 5 = 0 is: O [3, -1, 5] O [2, 3, -1] [2, 3, -1, 5] O (-2, -3, 1]

A: Answer :  From question given that the Normal vector form is  ; 2x + 3y - z + 5 = 0

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.