Fill in the following table. (Enter vectors in the form < a, b, c >) 4xyi + 8yzj + 4zxk 10xyi + (5x² +10yz)j + 5y²k curl F div Fis F conservative (Y/N)? 8

Q: Let A be an m x n matrix, and let B and C have sizes for which the indicated sums and products are…

A: If the product AB is defined, the entry in row i and column j of AB is the sum of the products of…

Q: u = (1,2, 0), v = (-1,4, 1)

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Q: Sara draws the 4 of hearts from a standard deck of 52 cards. Without replacing the first card, she…

A: Given, Sara draws the 4 of hearts from a standard deck of 52 cards without replacing. a) we know…

Q: Write the vector u = (2,10) in i, j form. Written in i, j form, the vector u = (2,-10) =

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Q: Find the angle between the vectors u = (-3,1,–2) and v = (-7,-5, 2) %3D

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Q: Find a-Vectak S unit, tengte inthedirectionofthe Vector A-ixjtk-

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Q: List five vectors in Span {V₁, V₂}. Do not make a sketch. V₁ 9 4, V₂ = -7 4 3 0

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Q: Describe why Components are not vectors?

A: Describe why components are not vectors.

Q: Determine the direction angle 0 of the vector to the nearest degree. t= (9, 7) (Round to the nearest…

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Q: Find the angle between vectors a= (-/2, 0, v2) and b = (-1,1,0). %3D

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Q: Draw à = 3î + 2ĵ+ 5k. Must Include the Rectangular Prism used to draw 3D vectors.

A: a⇀ = 3i^ + 2 j^ + 5k^ The given vector indicates a 3D vector :  3 units in the direction of x-axis…

Q: Find the area of the parallelogram that has the given vectors as adjacent sides. Use a computer…

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

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Q: Let ā = (1, – 5, 2) and b = ( – 1, 5, 3). %3D Find the angle between the vectors (in degrees).

A: We know that for two vectors a→ and b→,   cos(θ)=a⇀.b⇀|a||b|⇀⇀ where θ is the angle between vectors.…

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

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Q: List five vectors in Span{V₁, V₂}. Do not make a sketch. 6 40-0 V₁ = 3. V₂ = 3 8 6 List five vectors…

A: The given vectors v1=63-8, v2=-630. We have to find five vectors in the Spanv1, v2.

Q: Find the area of the parallelogram spanned by the vectors -i+ 2j and i - j.

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Q: Find a unit vector u in the direction opposite of (-1,-9, –7). | u =

A: First we find the vector of the same magnitude in the opposite direction of the given vector and…