Q4 (a Ifa = 3i + j -k and b = 2i +j + 2k find the dot product a · b and the angle between a and b.

Q: B= (31) C= (45) ở A= (41) Then the transpose of A (i.e. AT) = %3D

A: Given that: A=3641

Q: (c) ry-y dA where D is shown below.

A:

Q: 2 1- -3 -2 -1 B. -1 -2 The midpoint of AB = ([ ? ], [ ]) %3D Enter 3. 2. A.

A:

Q: If v = 7i - 4j and w = 2i - j, find the dot product w.v

A: Given, v = 7i - 4j  and w = 2i - j

Q: Find the cosine of the angle between the planes x + y + z = 0 and x + 4y + 2z = 9. Need Help? Read…

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Q: You are a spy diving underwater at a depth, hvw = 3.56 m. You see your contact standing on a ship.…

A: Since solve the first question for you. If you want any specific question to be solved then please…

Q: If v = 7i - 4j and w = 2i - j, find the dot product v.w

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Q: A E F AB = AC AD = DB %3D В C АЕ — ЕС АВ If the triangel ABC ~ BFA Then find the value of ВС

A: Consider the figures, AB=ACAD=DBAE=EC

Q: Find the subject(s) that make a 13.237 V/m at the origin with a direction of -0.295ax -0.937ay…

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Q: If å = 4i + 2j + 4k ,b = -2i + 4j - 3k and č = 4i + 5j. If å + xb is perpendicular to č then find x.…

A: The given vectors are as follows. a→=4i+2j+4k b→=-2i+4j-3kc→=4i+5j Evaluate a→+xb→ as follows.…

Q: For v = - 2i - j and w = 2i + j, find the dot product v # wand the angle between v and w.

A: Given: v=-2i-jw=2i+j To Find: The dot product of v and w and angle between v and w

Q: dy I# 2x²y° - 3ry = at the point (1, 2)? 4x. what is %3D da O b) 2/3 O c) None of these O d) -43 e)…

A: Explanation of the answer is as follows

Q: r'(t) = 12e6ti + 7ej, r(0) = 2i %3D %3D r(t) =

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Q: (3 da + dy = 0, y(-1) = 2. (y-2x) ry? %3D %3D 3.

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Q: Q1) If R=3ax - 5ay + 4az : S =-2ax-3ay-az | Find: i) R XS : ii) by dot and Cross product, find the…

A: Since you have posted multiple questions and we can answer one question. So, answered first…

Q: Find the acute angles between the lines y = √3x - 1, y = -√3x + 2 Find the length and direction…

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Q: Q1 : Find the angle between u = 2i + j- 2k and v = i+j+k.

A: The angle between two vectors: - Consider two vectors a and b that are separated by an angle. Then,…

Q: make outbound JÄ x -4/3B = -12Ä ·B jän;B sà nai } = "i the corner achieve True false

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Q: Find the angle between a and b where -6a+2b=2i+j-8k and 2a-b=3i-4j+k

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Q: y+1 O Determine the angle between the lines 7 – x = and 2æ – 9y + 7 = 0 [k2] -

A: Given that  The two lines are  To find the angle between the two lines

Q: Qz Find the angle between the m Ā = 21 - 10j - 11k,B and À xB , CÀXB) Ä 3 = 2 i +2j + k

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Q: The diagram shows a vertical flagpole XW standing on a horizontal ground, with W, Y, and Z as points…

A: To find: The angle of elevation from  X to Z ∠XZY. Given: The lengths are XZ=9.5 m, YZ=6 m and XY=15…

Q: z₁ and z₂ are the roots of 3z² + 3z + b = 0. If O(0), (z₁), (2₂ form an equilateral triangle, then…

A: Given that z1 and z2  are the roots of 3z2+3z+b=0. If O(0), (z1), (z2) form an equilateral triangle.…

Q: Given A= 3i-7j+5k, B = -i+7j-k, C = 4i-j+k. Find %3D (a) A-B+C (b) A×C×B

A: we have given vector A, B, C and we need to find (a) A-B+C and (b) A×B×C

Q: The cross product of A = 4i + 2j with B is zero. The dot product of A •B = 30. Find B.

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Q: Find the cosine of the angle between the planes x + y + z = 0 and x + 4y + 3z = 6. Need Help? Read…

A: Given query is to find the attached cosine angle between the planes.

Q: If v = 5i - 2j and w = -3i + 4j, find the dot product v.v

A: Given that : The vector v = 5i - 2j and w = -3i + 4j .

Q: sin(r² + y²) dydrdz by converting to a more appropriate coordinate system and then evaluating.

A: Given region of integration is R=x,y,z:-1≤x≤1,-1-x2≤y≤1-x2,0≤z≤1 By changing the cartesian…

Q: Please find cross product c=a x b, where a= and b =. For c=16i+0j+?k, please enter the missing k…

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Q: a²u and dx2 a?u where u 3D х3 + уз + Зху Find дхду

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Q: Using the substitution x = sec 0, 2dx Jx?Vx² – 1

A: We can find the solution to the integration as below.

Q: Let a - ci +j and b- 9i + 12j. Find c so that the a %3D Round your answers to four decimal places…

A: Use dot product

Q: ļ l lo B D i821lg, AB = 2, BC = 3, DE = x, EF = 12 - x Given: %3D Find: X, DE, EF X = DE = EF %3D

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Q: I. For z = 3 – j5 and z2 = -2 +, find the rectangular form of the following: a. z1 + z2 b. Z1 – --…

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Q: 2 -3 -2 -1 2. B. -1 -2 The midpoint of AB = ([ ? ], [ ]) %3D 3. A,

A: In the graph, the coordinate of the points A and B are, A=-2,1 B=1,-1 Here, the objective is to find…

Q: Q.10 If a= 2i-3j + 4k and b= 2j + 4k Find the component or projection of a along b.

A: Using formula of projection vector.

Q: hnd the absolut max and min funcion fx,y)=(48x-lax²)cos L ón the rectangular Plate 1と×-3,-sys IT 4…

A: Absolute maximum and minimum: - Assume that f(x) is defined on interval I. 1. IfxM∈I and  f(x)≤f(xM)…

Q: Q Find the adjoint of square metria 3. (A')- 니 6 0 2

A: We have  to find adjoint matrix. As per guideline we have to solve only one question

Q: v = 6i - 8j, one of which is parallel to w = - i + j and

A: Solution :- Decompose v into two vectors v1 and v2, where v1 is parallel to w and v2 is orthogonal…

Q: d²v of cot w = 3v + 2w dw² Find %3D

A: Consider the equation cot w=3v+2w To find the derivative dvdw, differentiate the given equation…

Q: I. For z = 3 – j5 and z2 = -2 +, find the rectangular form of the following: d. m[²2] Im e. ? Re f.…

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Q: [o 2B y Determine the value of a,ß,y when | a B -y is orthogonal. La -B y

A: If matrix A is orthogonal then .

Q: Find the cross product (-2i – j+ k) × (–3i – j – k).

A:

Q: If v = 5i - 2j and w = -3i + 4j, find the dot product v.w

A: Here given as v=5i-2j and w=-3i+4j

Q: 25. f(y) = y?, g(y) = y + 2 %3D

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Q: 1 dz where C is the cirlce z - 2=1.5. Evaluate : 4 1 C 8 Tti -8Ti 4 Tti

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Q: m/HGJ = 110°, mZJGF = 2x + 36, and m/HGF = 146 + x. Find x. %3D %3D H F

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Q: :Q2 / Find 1) A x B. 2) Angle Between A and B. if = 3i + 2j + 4k = 2i + 1j + 6k A

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Q: "hat is the component fo = (1, –3) =(-1,2) nter your answer by fillin

A: The solution as follows :-

Q: in the form u = Rcos (wot-6). √3 sint u=-cost + V

A: The given problem is to write the given trigonometric term in terms of single term as u =…