Calculate Dot Product (2, 4, 5) and 6 Let a = Find a . b. (5, — 1, — 5).

Q: ad 2a — Зd Show that bе 2b — Зе | — 0. с f 2с — 3f

A: We have to show that ad2a−3dbe2b−3ecf2c−3f=0 by using elementary column operation Let…

Q: Find Cross Product Let à = (3, – 3, — 4) and 6 = ( − 2, – 3, 5). Find à x 6. V

A: Given query is to find indicated cross product.

Q: Assume that A is row equivalent to B. Find bases for Nul A, Col A, and Row A. A = -2 8-2-8 2-12 -4 2…

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Q: - Find the area of a triangle PQR, where P = (1, - 2, 3), Q = (1, — 4, 1), an R = (1, 6, 0)

A: we need to find out the area of the triangle whose vertices are given.

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

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Q: Let ā = (- 2, – 3) and b = (- 6, – 4). Compute the dot product.

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Q: Perform the vector addition: (– 7, 1) + ( – 12, 3)

A: Given,          <-7,1>+<-12+3>

Q: Find the sum of the following vectors: and =< ♦

A: Given vectors are  u=&lt;-4, -7&gt; and v=&lt;-3, 8&gt;

Q: Use the adjoint of A to find A−1, where

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Q: Find the dot product: (5, —3) о (2, 3) O 1 O -1

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Q: Find b and c such that [-2,b,7] and [c,6,21] are collinear. Blank 1: Answer for "b." Blank 2: Answer…

A: Two vectors are said to be collinear if they are scalar multiples of each other. This means that one…

Q: compute the dot product. (3, −2, 2) · (1, 0, 1)

A: The dot product of three dimensional vectors can be calculated by using the component formula for…

Q: Calculate the triple product ā · (b x c), where ā =,b=, and č=.

A: Given vectors  a→=2 , -4 , 1b→=0 , 3 , -1c→=5 , -3 , 3

Q: Use diagonalization of A= work. 6 2 - to compute A6 by hand. Show your

A: Step 1:Step 2:Step 3:

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

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Q: Evaluate dxdy √√3x + 4y over the rectangle [0,3] × [0,4].

A: We find required integral by using Fubinis method.

Q: x.y = Find the dot product of X 0 []. 0 3 [] -2 -3 and y=-2

A: The given vectors, and .The aim is to find the dot product .

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: Given u⃗ =⟨2,−5⟩ and v⃗ =⟨4,−4⟩, find the dot product u⃗

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Q: A rectangle with length / and width w has a diagonal of D inches. If the perimeter of the rectangle…

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

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