Given two vectors A = 3i -4j +k and B = 5i +2 j -6 k. Find the z-component of the new vector Ax B. %3D O a. 26 O b. 23 O c. 44 O d. 22

Q: Q3:A /let A = 2i-3j + 4k, and B =i-2j + 5k: (1) Find the unit vector UA. (2) Find the normal vector…

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Q: Q4) Let vector A = Si+2j, vector B = -3i-5j, and vector E (2A)+ (3B). (a) Write vector E in…

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Q: 3) Let: E = 3ay + 4az and F=Aax - 10ay + Saz (a) Find the component of E along F. (b) Determine a…

A: The solution to the problem can be given as follows:-

Q: If two vectors ? = 4? + 6? − 8? and ? = 6? − 8? + 4? are added together describe the characteristics…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 1. Consider the vector 34 m in the direction of S25°W. a) Write a vector that is opposite to the…

A: Length of the vector is L = 34 m @ 25 degrees south-west

Q: 3) Consider the two vectors A = Axî + Ayĵ and B = Bxî + Byĵ. In cross product, %3D %3D î x î = ĵ xĵ…

A: We have been provided the vectors as- A→=Axi^+Ayj^B→=Bxi^+Byj^and we have to prove…

Q: Q8/ Consider f(x.y) x² + y, defined on the rectangular region 0S x Sl, 05 ys 2. Prove that f, (x2 +…

A: The function f(x,y) is given by

Q: 1) Define the unit vector? What is the unit vector of the general vector: A = azî + a,ĵ + a,k and B…

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Q: 1. Three vectors are given by, R, = 2î + 3j – 6k, R2 = 21 – mj – 8k and %3D R, = nî + 4.5j – 9k…

A: We have 3 vectors, R1→=2i^+3j^-6k^R2→=2i^-mj^-8k^R3→=ni^+4.5j^-9k^

Q: Question (2 Points) Given a space curve C with position vector r = 3 cos 2t i + 3 sin 2t j + (8t-4)k…

A: The derivative of a function of a real variable calculate the sensitivity to vary the function value…

Q: % Part (g) What is the magnitude of the resultant vector: A - B? %3D sin() cos() tan() 7 9. HOME…

A: According to question we need to find vector A - vector B.

Q: 2] Two vectors lying in the x-y plane given by: A = 5i + 2 j and B-2i+3j(assuming the positive…

A: find two vector's resultant vector of R by B x A cross product give you resultant vector R.

Q: | Suppose Č= Á + B where vector A has components A, = 5, A, = 2 and vector B has components B,= -3,…

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Q: 1. Given the ff vectors : A = 5 km, East ; B = 8 Km west ; C = 7 km, south ; D = 4 km, north ; E = 9…

A: Given the ff vectors : A = 5 km, East ; B = 8 Km west ; C= 7 km, south ; D = 4 km, north; E = 9 km,…

Q: Physics problem 23.36 (please assume the dot given is the origin, and that the X-axis is horizontal…

A: The figure can be drawn as follows: Let the charges be named A, B and C and their electric field be…

Q: | Suppose D =Á – B where vector Á has components A, = 5, A, = 2 and vector B has components Bz= -3,…

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Q: 1) a) What is vector? b) Find the gradient of r= (x² + y² + z²)² (the magnitude of the 1/2 position…

A: As per guidelines , only 3 subparts is solved here.   a).A vector is quantity which has both…

Q: Q2. A dog searching for a bone walks 3.5m south, then 8.2m at an angle 30°north of east, and finaly…

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Q: Q1) given vectors (A = 4ax – 2a, + 2a,), (B = –6ax + 3a, - 3a,), and (C = ax + 3a, + az), find (i)…

A: A→ = 4ax - 2ay + 2azB→ = -6ax + 3ay - 3 azC→ = ax + 3ay + azMagnitude of A→ = (4)2 +(-2)2 + (2)2|A|…

Q: A) Write the vector form of D, E, and F. B) Find F x D · E 7 in E 15 in 12 in F 10 in

A: position coordinates:a: 0,10,0F:12,10,0c:0,0,15g0,0,15e12,0,0

Q: Find components of vector: 1.) E = 4.50m, 37° E of S D- 3m, 46° S of E F = 4m, 20° E of N K. H = 2m,…

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Q: 1.A vector 10 units magnitude is directed 60° below the +x-axis. What are the horizontal(x…

A: Given:Magnitude of vector, A→=10 unitAngle from x-axis is, θ=60° downwards

Q: H.W:1 A(6,-7,-1), B(2,-3,1), C(4,-5,0) are three point: Find 1) The vectors AB, BC, CA. 2) The unit…

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Q: Q3:If the two vectors A = 31 + 2 j+ 5k , and B = 21 – tha and v rplane ind the angle betwaen them

A: Given values:-  A→=3i^+2j^+5k^ ------(1) B→=2i^-j^+4k^ ------(2) Let us consider (θ) be the angle…

Q: 9 The vector À has "x and "y" components of B has rex" and c" and - 6.60 cm, respectiuely. If - 8.70…

A: Given  A--> = -8.70 i^ + 15.0 j^ cm  B--> = 13.2 i^ -6.60 j^ cm  C--> =??  A--> -…

Q: W & U are shown below. W = 36, & U = 16. Let R = W - U. Determine the components of each vector as…

A: Given:- Two vectors W= 36 U= 16  Let R = W.U  the direction of a vector given in the fig  Find:- The…

Q: Q2. A dog searching for a bone walks 3.5m south, then 8.2m at an angle 30°north of east, and finally…

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Q: Let A = 4î – 2î, B = –3î +7j, and Č = A+B. You may want to review (Pages 73 - 75). Part A What is…

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Q: B.Find the x and y components of the following vectors: show complete solution Vector x-component y-…

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Q: Q. 6: Suppose the sides of polygon represent vector arranged head to tail. Calculate the sum of…

A: Given a polygon,  We know that if a set of vectors given in particular order gives a closed polygon…

Q: 1. a. How do you add two vectors a and b geometrically? Illustrate using the two diagrams. (Hint:…

A: When we represent two vectors in cartesian co-ordinate then the positions of vectors be:…

Q: Find the magnitude and direction of the missing vector: A = 12m, E B = 28m, 50° W of N Ĉ =? R =…

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Q: Q. 9: Find the direction cosines of cartesian coordinates (4, -1, 2).

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Q: 3) Two vectors Ā = -î+ĵ and B = 2î – 3k . Find à + B ,Ē – 2Ã, JÃ| , |B| , Ā ·B, AxB and the angle…

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Q: Calculate the vector bxa when a- b=i+3j + 2k 3i+ 4j -3k and %3D

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Q: I) With Ad = v,t+at", solve för Ad given that v =5.4, a =-9.8 , and t 3 %3D 2)

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Q: y Exit Ticket Enter the correet answer in the space provided. Three vectors begin at the origin…

A: A vector B is represented by the coordinates(x, y) can be written as, B→ = xi^ + yj^, where i and j…

Q: (d) Can such a point lie on the y-axis? O Yes No (e) Can more than one such point lie on the y-axis?…

A: Given: d) Can such a point lie on the y-axis e) can more than one such point lie on the y-axis? d)…

Q: Q3. The position vector of a particle in space is given as R = (1.25 t2) i + (t)j. Find the Normal…

A: Normal can be obtained by taking cross product of R and P

Q: S. The is a Sum two vectors um't 0 vector find X ?.

A: Let C denotes the vector sum: So, C=(2+x)i+7j and magnitude of the vector sum is, Hence, we have…

Q: QUESTION 5 (a) If dris an infinitesimal displacement vector given as dr = idx + jdy + kdz, write…

A: “Since you have asked multiple question, we will solve the first question for you. If you  want any…

Q: Two vectors A and are perpendicular to each other. What is the magnitude of R, where R = A+ B? O A+B…

A: Magnitude of first vector = A Magnitude of second vector = B Angle between the two vectors (θ) = 90o…

Q: äbäi 25 Q4) Figure (Q4) shows vectors A and B. Find vector C such that vectors A + B + C = O. Write…

A: To solve this problem we need to expand the vectors along the X and Y axis and then solve the…

Q: Find the magnitude and direction of the missing vector: A = 12m, E = 28m, 50° W of N C =? B %3D

A: A = 12 m, East B = 28 m, 50 degrees W of N C = ? resultant = R = 10m, south

Q: Sample problem. Thank you.

A: (a)For the two vectors

Q: • A vector has the components Ax = -36 m and Ay = 43 m.(a) What is the magnitude of this vector? (b)…

A: Formula of magnitude of vector is as follows: A→=Ax2+Ay2…

Q: Q3) Let vector A = 5i +2j, Vector B = -3i -5j, and vector C = A+ B. (a) Write ector C in component…

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