Determine the flow of the vector field (image 1), through the surface S, outwards, with S being the paraboloid (in image 2). Choose the right answer:   a) 9,42 b) -9,42 c) 254,47 d) -254,47

Q: Consider the following. u = (-1, 7,-4), v = (-6, -5,9) (a) Find the projection of u onto v. (b) Find…

A: Please see the below picture for detailed solution.

Q: 18) a) Find a unit vector that is orthogonal to both u = and v = . b) find the area of the…

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Q: 10. A Plane is flying at 45 degrees north of the x axis at 400 mph. Sketch the situation and find…

A: Drawing the given data , Plane is at "A" From the diagram the x-component is OB…

Q: Find a vector equation with parameter tt for the line of intersection of the planes x+y+z=4x+y+z=4…

A: What is Plane: A plane is a flat, two-dimensional surface that never ends in mathematics. A plane is…

Q: Q#4: a) Find the area of the triangle determined by the points (2, 6, – 1).(1,1,1), and (4,6,2) b)…

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Q: Write the line through p=(5,2,2) in the direction of v¯=⟨3,5,0⟩ in vector parametric form: L(t) =…

A: We know that the equation of line passing through the point P in the direction of v→ is…

Q: Let T: R² → R² be a reflection in the x-axis. Find the image of each vector. (a) (2,7) (b) (6, -8)…

A: T: R2 - >  R2 is a inear map which is basically reflection in the x Axis. Therefore for any point…

Q: An ant, on the xy plane, is located at the point P = (4.1). The temperature at the point (x, y) is…

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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: Find a unit vector in the xy-plane that is orthogonal to

A: Here given vector as a=123 Consider a vector as b=25-150 Now find the dot product of vector b to…

Q: 11. Let / be the intersection of the two planes 2x - 3y + 4z = 2 and x-z = 1 a. Find a vector…

A: Let l be the intersection of the following two planes(a) To find a vector equation of l.(b) To find…

Q: What is the dimension of the vector space ab c S= { EM2x (R): a =b=c} de f

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Q: Let = xi + yj + zk be the position vector to any point P(x,y,z) on a surface $(x, y,z)=c. a) Write…

A: According to question,Given Position vector at Point Px, y, z,r→ = x i^ + y j^ + z k^,ϕx, y, z = c

Q: Let u = (2, 1, 5) and v = (3, 4, 2). Find the scalar and vector projections: comp,u, uv

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Q: 8. The magnitude of force F is 450 lb. Express F in Cartesian vector form. y, ft 030° A(4,-2) -x, ft

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Q: Q1. (a). Let V = R and define addition and scalar multiplication by: (a, b) e (c, d) = (a +2c,…

A: See the detailed solution below.

Q: What conditions on a column vector u will make ulu zero? T

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Q: "Moved five meters to the right" Vector or Scalar?

A: Answer:  It a vector.

Q: What is the vector projection of X = (7, 0, – 3) on ỹ = (-1,3,3)? Answer:

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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: Find a vector perpendicular to the surface: 5zy = a? +y 28 Enter you answer in the form . 15 at the…

A: Gradient of F(x, y, z) at a point is perpendicular to the surface F(x, y, z).

Q: The surface of a hill is modeled by the equation z = (50 - 2x² - 5y²) meters shown in the figure. If…

A: The surface of a hill is modeled by the equation z=50-2x2-5y2. A freshwater spring is located at the…

Q: (a) AB-BC (b) projABAC (the vector projection of AC onto AB) (c) the area of AABC

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Q: Where does the line with the vector equation [x,y,z] = [6, 7, -8] + t[-2, 4, 1] intersect the…

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Q: Find a vector ī that is perpendicular to the plane through the points A = (2, 5, 1), B = (5,4, –2),…

A: We find a vector v that is perpendicular to the plane through the points A = (2, 5, 1), B = (5,4,…