Si : 2 =1- y, S2 : z = x, S3: 2 = 4 – x – y, S4 : y = 0, S, : 2 = 0 cuya represent ación gráfica es: Se a Sla frontera del sólido Q (es decir, S = S,US2US3US,US;). Una integral que permite determinar F-ndS, donde n es el vector normal unit ario exterior a S y F(r, y, 2) = (yz, xy, y), es: el valor de 1-y² A) 4-y-a B) dr dz dy 4-y-a a dr dz dy D) a dr dz dy

Q: ex/IF Ā=i-j+3k and B =2 i+6j+3K Find the vector pricâ+B) and Prj (À-B).

A:

Q: Let a = (-3, –4, –4) and b = (2, 2, 4) . Find scalars s and t so that sa + tb = (20, 4, 32) %3D %3D

A: We have to find the values of scalers s and t for a=-3,-4,-4 and b=2,2,4.

Q: find ---y (a) u•v, (b) u•u, (c) ||v ||2, (d) (u• v)v, and (e) u • (3v).

A: Disclaimer: Since you have asked a question with multiple sub-parts, we will solve the first three…

Q: 4 В T(t+h) A 21 y 01 2

A:

Q: Find u · v. u - (7, 2) - (-6, 3) V u.v -

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: /hich equation j the vector form of the line with parametric equɛ 7- (1,-13) d. 7-(-3,3) + - (-3,3)…

A:

Q: 1. Let A=3a_y+5a_z, B=a_x-2a_y+4a_z, C=a_x+a_y-a_z. a-Find A.B, b-Find AxC and IAXC| c-Find C.AxB…

A: Let .To Find:Describe the surface defined by the following equations:a) b)

Q: Decompose v into its vertical and horizontal components.

A: Decompose vector v in vertical and horizontal components.

Q: Write vas the sum of two vector components if v= 2i+jand w=3/- 2j. O-(-+)+(¹+) O )+(¹+)) O (+)+(+) O…

A: Write v as the sum of two vector components if v=2i+j and w=3i-2j.

Q: 1. Letz =1+i,1,=-1+i, locate the numbers z+ z, and , vectorially in the rectangular coordinate…

A: We are Given that : z1=1+iz2=-1+i ⇒z1+z2=(1+i)+(-1+i)=2i and  ⇒z1-z2=(1+i)-(-1+i)=1+i+1-i=2

Q: Let y = x₁ = [7] 5 10 and u = -4 .Write y as the sum of two orthogonal vectors, ₁ in Span {u} and 2…

A:

Q: y 3 2 1 O -1 -2 -3

A: Given query is to find the x component of the vector.

Q: Describe the solution set, x= x₂, of x₁ + 2x2 - 4x3 = 0 in parametric vector form. Select the…

A: x1 + 2x2 - 4x3 =0

Q: Let u = 10i + 2j, v=i+j, and w = i-j. Find scalars a and b such that u = av + bw. a = b =

A:

Q: What is the vector equation of the line segment that connects point P(1,−1,2) to point Q (4,1,7)?

A: Given, A line segment passes through the points P1,-1,2 and Q4,1,7 We have, the vector equation of a…

Q: 2. Express the following vectors in rectangular coordinates: a- A rho sin(phi)a_rho+rho…

A: Base vectors for cylindrical co-ordinates are:Base vectors for spherical co-ordinates are:

Q: Let V1 = 2 V2 = 0 2 V3 = 2 V4 = 3 Decide the dependence or independence of the vectors {V₁, V2, V₁}…

A:

Q: Let z = 6. and y Find the vectori = 47 - 7j and its additive inverse.

A:

Q: Find u · v. u = (7, 12) v = (-4, 5) u v =

A:

Q: Simplify -3√-49. O -147 i O -21 i O 147 / O 21/

A:

Q: Find vectors u and v such that the parametric equation of the line y= mx + b can be expressed as…

A: Given that  equation of the line is  y= mx + b…

Q: 5. Drop a vector from the set A {sin'x,-1,1, sin 5x} to make it independent in F(-00, 00)

A: A set is linearly independent if no vector can be written as linear combination of others.