If A= 3î + 31 + k and B = -î + 2j - 2k, then the dot product A.B is

Q: 5ах+10bx-2ас +4bс

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Q: Find (x + 1)v2r2 + 4x + 6

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Q: Find minor and cofactor of the first row and then use them to find 3 -7 -1 0 -8 8 2 3 -7 -1 = Choose…

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Q: Express (-23+ j2) -6 in rectangular form.

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Q: Use the FOIL method to find the products. a) (3x + 4)(2x - 3) b) (5x + 2y)(6x - 5y)

A: FOIL method to find the product of a+bc+d: That is,           First: acOuter: adInner: bcLast: bd∴…

Q: Find the product D (xD – 3) A) xD²– 2D B xD²+4D (c) xD² – 3D D xD²+3D

A: .

Q: Complete the square to express y= 3x – 10x – 5 in the form y=a(x-h)² +k. Then give the coordinates…

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Q: [61] Diagonalize B = (by finding P and D) or explain why B isn't diagonalizable.

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Q: Let p, = 2t – 1 and p2 = t3 +2. Write three polynomials that are in span{p1, P2}-

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Q: Compute (2i + k) × (3j + 5k).

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Q: Explain the problems with the Lagrange form of the interpolating polynomial?

A: Lagrange polynomials are used for polynomial interpolation.

Q: Find the polynomials connecting the points (0,1), (1,3), and (2,13) ​​by quadratic interpolation.

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Q: Find the LU factorization of A = A = 1 1 -3 0 9 3 -17 5 2

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Q: -1 -4 -1 5 21 A -2 -5 -14 4888|16 Find the LU factorization of A = A =

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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: Consider the following linear equations: -6x + 3y + 6z -6x + (16-k)y + 5z -6x + 3y + (8 - k)z a) -6…

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Q: Find curl (5z i + 6x j + 2y k). curl (5z i + 6x j+ 2y k) = ( i )i + ( i )j + ( i )k Save for Later

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Q: Add or subtract the polynomials (7x3-x2y+4y3) + (2x3+5x2y+3xy2) - (5x2y+6xy2+y3) ?

A: Distribute the signs.

Q: Determine the conjugate of the product of, (3 – 2i) (4 + 3i)

A: solution:-3-2i4+3i=34+3i-2i4+3i=12+9i-8i-6i2putting i2=-1=12+9i-8i-6-12=12+9i-8i+6=18+i

Q: Draw a picture of Cay({2, 5}:Z8).

A: Given,            Cay2, 5 : Z8.

Q: Use FOIL to express ab + ac + db + dc in factored form as a product.

A: To find factors of ab+ac+db+dc

Q: Find the dot product: (-1, 0,1) . (1, 9, 2). Fully reduce your answer. (It should be a whole number)

A: To find The dot product of (-1,0,1).(1,9,2)

Q: 3. npor Find the dot product

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Q: 1 -3 -2 0 4 0 2 A 1

A: The solution of the problem is given in the next step.

Q: If BD = p- 7 and BF = 6p - 97, find BF in parallelogram CDEF. D. BF C.

A: Given : CDEF is a parallelgram  The diagonals of a parallelgram are bisected by the point of their…

Q: Find the zero-divisors of Z6.

A:

Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.