Let F = sin(4x +3z) i-6ye*z k. Calculate div (F) and curl (F). (Express numbers in exact form. Use symbolic notation and fractions where needed.) div (F) = (Give your answer using component form or standard basis vectors. Express numbers in exact form. Use symbolic notation and fractions where needed.) curl (F) =

Q: Calculate v × w. v = 〈2, 0, 0〉, w = 〈-1, 0, 1〉

A: Given vectors are v=2, 0, 0 and w=-1, 0, 1. To calculate: v×w Solution: Given vectors can be written…

Q: Find the dot product. u = (-9, 10) and 7 = (3, 6) u.v=

A: Given query is to find the dot product.

Q: Find each scalar multiple. aа. 2(3, 1) b. 3(-5, 1) c. -(-6. 0)

A: Given: a)  23,1b)  3-5,1c) -12-6,0 To determine: Scalar multiple in each case.

Q: 4. Subtract the vectors shown. (blue - green)

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Q: List five vectors in Span (v₁, V₂}. Do not make a sketch. V1 = 9 4 V2 -6 -4 3 0

A: Consider the provided question,Here, the scaler element are from the field .Therefore, elements of…

Q: Compute the dot product. (0, 1, 0) · (6, 11, 11)

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Q: Calculate v x w = (u1,u2, u3). v = (9,5, 4) w = (-4, 8, –5) (Give your answer using component form…

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Q: There are 210 grade 12 students enrolled for se quidance department to determine the number 8…

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Q: What is the component form of v?

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Q: Let à = (-5, - 2, 4) and b = (-1,5, 3). Find a x b. (Enter your answer as a vector of the form .)…

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Q: Describe all of the operations involved in (a - b)(a c) — 2ã · (b × c) - Explain whether the final…

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Q: Find u · v. (7, 9) v = (-2, 4) V u.v u:v =

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Q: Let u = (1, 2, 3), v = (2, 2, -1), and w = (4, 0, -4). Find 2u + 3v - w. STEP 1: Multiply each…

A: Given that the vectors u=1,2,3v=2,2,-1w=4,0,-4    .

Q: v = (9,5,6) w = (-8,4,-7) = J

A:

Q: Write the vector as a linear combination.   PQ where P=(3,6) Q=(1,-3)

A: