If A = 6i + 7j – 10k, B = – 4i + 5j + 6k, C = 10, and C is perpendicular to both A and B, %3D write the C in vector form Č = ( o 8.4535403117729 or i + 8.4535403117729 %3| | o 0.36754523094665 or 0.36754523094665 j+ | 5.3294058487264 or 5.3294058487264 k)

Q: In Problem,decompose v into two vectors v1 and v2 where v1 is parallel to w and v2 is orthogonal to…

A:

Q: 31. The vector perpendici:!at to both 3i –-6j – 4k and -3i + 2j + 2k is A A -4i + 6j + 12k B - 4i +…

A: Cross product

Q: If a line is parallel to the vector 8i + 5j + 3k and passes through the point P = (6,2,4), then the…

A:

Q: Q6) if A=2i-3j+4k, B=-i+2j+5k and C= 3i+6j-k, Find the indicated scalar or vector : 1) 2) A-(Ã+B +…

A:

Q: 21. Find the coordinate vector of x = with respect to the basis B = {v1, V2, V3} where vi =|1 V2 =…

A: Write x in linear combination of v1 , v2 , v3

Q: A, B, and C are 3 distinct points with non-zero position vectors a, b, and e respectively. a If a x…

A: Given three distinct points are A, B, C. with position vectors a, b, c respectively.…

Q: Find cos(0) if 0 is the angle between the vectors u= 2i + 2j – k and v = 3i + 4k

A: Consider the two vectors. u=2i+2j-k and v=3i+4k It is given that θ is the angle between the vectors.…

Q: The vector result of (ì − 2j +3k) · (−2ī + 2j − 2k) is a. -i + 7j b. -i+j-k d. j+7k e. -i+7k c.…

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Q: The vector v with initial point (0, 0) is shown below. Write v in the form v = ai+bj, where a and b…

A: It is given that initial point of vector v is (0,0). The objective is to write vector v in the form…

Q: a line is parallel to the vector 2i + 7j+ 8k and passes through the point P = (3,6, 6), then the…

A: Given query is to find the equation of the line.

Q: Find the magnitude of vector u = 4i - 3j - 5k and simplify. O 2v3 O 3v2 None of these. 4 O 5/2

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Q: Let v = i - 5j and w = -2i + 7j. Find the specified vector or scalar 6v - 3w.

A: We plug v = i - 5j and w = -2i + 7j in 6v - 3w. 6v-3w=6(i-5j)-3(-2i+7j)=6i-30j+6i-21j=12i-51j

Q: The vector sum v1i + v2 j is a ________ ________ of the vectors i and j, and the scalars v1 and…

A: The vector sum v1i + v2 j is a linear combination of the vectors i and j, and the scalars v1 and v2…

Q: 3- The scalar component of the vector F in the direction of K is (K.F А- .K, В- K C-

A:

Q: 10- With respect to the origin O, the vertices of a triangle ABC have position vectors OÁ = 2i + 5k,…

A: (a) Given that position Vectors, OA→=2i+5kOB→=3i+2j+3kOC→=i+j+k   As we know that, two vectors are…

Q: Determine the residual and Jacc - bian needed to solve the equation d²u 2u° = 0, - dx? 1 and u(1) 0,…

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Q: Find the value of y in ( 3x + 4yi)(6 -7i) = 3 + 5i  A. 1/20 c. 1/10  B. 3/20 d. -1/15   Q2: If…

A: We have to find the value of y.

Q: -2 [5a] Find the value of a such that the vectors u =a +4 and v = |2 are orthogonal.

A: Please refer the attached image for complete solution. Given: u = -2a+4   1  & v = 5a 2 0 are…

Q: Let a = 2i – j - 3k and b = 3i – j-k %3D (a) C ) Find two unit vectors orthogonal to both a – i and…

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Q: Find the magnitude of u xv and the unit vector u= 5i - 5i - 3k, v= 0 O A. 0; 5i - 5i - 3k O B. V59;…

A: Here we have, u=5i-5j-3k and v=0 We have to find the magnitude of u×v and the unit vector parallel…

Q: Find cos(0) if 0 is the angle between the vectors u= 4i – 3k and v = 2i – 2j + k 2 14 15 15

A: First I have written a short note , just use them and find that  Answer is 1/3

Q: Is v = |1a vector in the span of S = }|2| Use Gaussian elimination to support your answer.

A: To check v=111 a vector in a span of S=123, 012, -201 or not.

Q: A parametric equation of the line (D) passing thrdugh A and parallel to the vector v is: x=2+3t y…

A: Given, Line D = x = 2+3ty = -1-4tz = 2  It is passing through A and parallel to the vector v  We…

Q: The z-coordinate of the terminal point of the vector v=-5i-19k whose initial point is (-1,-4,-5) is

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Q: If the triple scalar product of the vectors A = i+ 3j + k, B = 2i -j-k and C= ai + 7j + 3k is zero ,…

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Q: . Show that the vectors a = 3i-j+4k, b = i-3j-2k and e = 4i-3j+2k are linearly independent. Find…

A: Note:- We are entitled to solve only the first question, unless specified. Given vectors: a=3i-j+4k,…

Q: Show that the vectors a = 3i−j+4k, b = i−3j−2k and c = 4i−3j+2k are linearly independent. Find…

A: The given vectors are  a = 3i−j+4k, b = i−3j−2k and c = 4i−3j+2k

Q: In R, evaluate the alternating 2-form 5 = -3 · dx A dy on the pair of vectors (a, b) if a = (4, 2,…

A: In ℝ3, we have to evaluate the alternating 2-form ξ=-3·dx∧dy on the pair of vectors (a,b). a=4,2,12…

Q: Find the cosine of the angle between the vectors P1 (x) = 1 + 2xr – x² and p2 (x) = -2 – 3x + 2x² -…

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Q: 1. Use the vectors in the figure at the right to graph each of the following vectors on the plane…

A: Draw the correct vectors 2v & -3w than form the triangle sum.

Q: Given the vectors A = 3i – 5j + 2k and B = 7i + j – 2k. Find the vector projection of A onto B.

A:

Q: 2) Let u=5i-j+k, v=j-5k and w=-15i +3j-3k. Which vectors, if any, are: a. Perpendicular? b.…

A: To find out the vectors which are parallel and perpendicular.

Q: Express F= 100 N (shown in the figure below) as a Cartesian vector. a) 35.4i – 35.4j+ 86.6k b) 35.4i…

A: Here we have to find the components of 100N on each axis.

Q: (b) Two out-of-phase alternating voltages are represented by: V = 3.4sin (wt +=) and V, 1.3cos (wt…

A: The given problem is to find the sum of given vectors in the form of A sin(wt+ ϕ),we have to general…

Q: 10. In the diagram, M is the mid-point of CD, BP:PM = 2:1, AB AD = z. = x, and AC = y and %3D…

A: Given that:                               NOTE: As per our answering guidelines, we can only answer…

Q: Consider the vectors cO 1 (2 1 2) (1 1 0) in R3. Find the value of c, for which given vectors are…

A: The given vectors,c01, 212, 110

Q: In R, evaluate the alternating 2-form 5 = -3· dx A dy on the pair of vectors (a, b) if a = (4, 2,…

A: Given that, ξ=-3.dx∧dy on (a,b) Where a=(4,2,12),b=(-7,-4,8) The objective is to show that ξ(a,b).

Q: Find the cosine of the angle between the vectors P1(x) = 1 + 2x – x² and p2(x) = -1 – 3x + 2r² with…

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Q: In R', evaluate the alternating 2-form 5 = -3 · dx ^ dy on the pair of vectors (a, b) If %3D a = (4,…

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Q: H.W 6- Determine which of the following vectors are parallel to A = 4i +6j 1. -4i -6j

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Q: Q4: Find the vector projection of u 6i + 3j + 2k onto v =i- 2j 2k and the scalar %3D component of…

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Q: Let A = 2i + 3j and B = 4i − 4j. Show graphically, and find algebraically, the vectors −A, 3B, A −…

A: Given: A=2i+3jB=4i−4jFind:−A=?3B=?A−B=?B+2A=?12(A+B)=?

Q: Find a so that the vectors v=i- aj and w = 7i- 10j are orthogonal. (Type an integer or a simplified…

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Q: Determine "k" so that the vectors 3a- 4b and 5a+ 2k b are collinear. Justify your response.

A: Topic = Vector

Q: Express the resultant vector as a linear combination. f=-3i - 10j %3D g = 11i + 5j Find:-6f +2g

A: To find -6f+2g.

Q: If a line is parallel to the vector 7i + 5j+ 5k and passes through the point P=(4,3,5), then the…

A: To find the parametric equation of the line:Given line is parallel to the vector 7i+5j+5kSo, a=7,…

Q: (5) Find the cross-product ū x i of each of the following pairs of vectors; (i) ū = 2î + ĵ + k; i=…

A: Solution: (i) u→=2i^+j^+k^,  v→=8i^+2j^+2k^ Now, u→×v→=i^j^k^211822           =1122i^-2182j^+2182k^…

Q: b/Let u and v be a nonzero vectors in 3- space, and let e be the angle between these vectors when…

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.