Evaluate F-dS, that is, find the flux of F across S. Flx, y, z)=-zi+ 2yj-4xk: S is the hemisphere z=V 16-x-y; n points upward. O 256x O 256 O 128 O 256

Q: 23. Evaluate (x8(x² - 2x - 3)dx A)1 BIO C)-I D12 E)-2 24. For a constant vector E, find the constant…

A: Let us solve above problem.

Q: let v = (1, 3, −2) and w = (2, −1, 4). Compute v × w.

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Q: Find the cross product u x v where i = 3i +6j +9k and v = (- 2, – 4, 5). ux v =

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Q: Calculate v x w: v = (5,6,2), V X W W = (5, 4, 7)

A: Step 1: Step 2: Step 3: Step 4:

Q: Find the cross product i x v where i = 2i +2j -3k and i = (- 8, – 6, 3). i x ở =

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Q: Let a = (0, 2) and b = (- 5, 1). %3D %3D | Find the angle between the vector, in degrees.

A: Given vectors are: a→=0, 2 and b→=-5, 1

Q: Calculate v x w: v = (3,8, 8), w = (1,1,4) V X w =

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Q: Let T: R2 R be a reflection in the x-axis. Find the image of each vector. (a) (7, 6) (b) (9,-3) (c)…

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Q: Let u = PQ and v = PR ; where P = (2, – 1, 3) Q = (0,5, 1) and R = (5,5,0) find a. The component…

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Q: (c) Determine whether the set R², with the operations (x₁, y₁) + (x₂, y/₂) = (x,,0) and c(x, y) =…

A: Let V be the vector space if  1 If u,v∈V  then u+v ∈V 2.  u+v=v+u 3. (u+v)+w=u+(v+w) 4. Identity…

Q: Let v = (5,1,-2) and w =(4,-4,3). Calculate v w.

A: Given,v=5i+j-2kw=4i-4j+3kWe know that if (a1i+b1j+c1k).(…

Q: let v =〈−2, 5〉and w =〈3, −2〉. Sketch v, w, and 2v − 3w.

A: Given vector:                   v=-2,5 and  w=3,-2   Algebra of vectors: Let v = x1, y1 and w =  x2,…

Q: Find the point P such that v = PQ has the components (-7.75, –8.25, – 16). О 3D (-2.75, -2.25, -6) P…

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Q: Let u = (1, 2, 3), v = (4, 4, -2), and w = (6, -1, -2). Find z, where 2u + v – w + 3z = 0. z =

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Q: 13. Prove that the three points (-3, 2, 4), (6, 1, 2), and (-12, 3, 6) are collinear by using the…

A: To solve the following problem

Q: Determine C if u=v=0 (20 — 5и + 3)dv — (20 + 4и — 6)du 3 0 - 3 27 -1

A: Let's find.

Q: Find u (vx w). =(5, 5, 5) v = (1, 9, 0) w = (0, 0, 4) U =

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Q: Let à = (6, 6) and 6 = (-4, 7). Compute the dot product. ā.b=

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Q: Let u= 31-2j + k and v= 2i – 2j + 2k. Find ux y.

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

A: Addition and subtraction of two vectors: Add or subtract the necessary components to add or subtract…

Q: 1 5 ]v s or fractions.) W = - 3 0

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Q: Ben can wash a car in 2 hours while his younger brother James can do it in 3 hours. How long will it…

A: In 1 hour Ben can wash 12 part of car. in 1 hour his younger brother can wash 13 part of car.

Q: Calculate the dot product of ?=(−4,−2,7,−3)and ?=(−3,1,5,8)

A: Given vector is u→=−4,−2,7,−3 and v→=−3,1,5,8. We have to calculate the u→⋅v→.…

Q: Let u = (−3,2,1,0), v = (4,7,−3,2), and w = (5, −2, 8, 1). Find the components of −u+(v−4w)

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Q: Find the cross product a x b. a a = (t, t², t³), b = (1, 4t, 9t²)

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Q: Let u= The length of u is 4.  Find the direction.

A: Given a vector. We need to find the direction of the given vector.

Q: Find v u if v = 3i+ 4j and u = 2i +6j. A. 6i+24j OB. 5i+10j OC. 30 OD. - 18

A: Given query is to find indicated dot product.