(c)2+1)2 (t²+1) 6. Velocity of a particle depends on position as V=- dv then find dx [velocity gradient] 1-x (a) 2(1+x)² آکا x-1 (c) 1-x 2√x(1+x)² 1-x (d) 2√√x(1+x) x+1 √√x(1+x)² Intensity of electric field due to a charge distribution kr dl |= (r²+a²/3/2 where k, a are constant find dr

Q: Consider the following vectors: A=3i+ 6j B=2i – 3j+ 4k C=5i – 2j+ k Find (a)R=A+B – C (b)А . В (с) В…

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Q: Given the following vectors: Ả = -2.00î + 3.00ĵ + 4.00k B = 3.00î + 1.00ĵ – 3.00k Solve |–1.50A +…

A: This problem can be solved using the property of scalar multiplication of a vector

Q: Coefficients Linear in Two Variables Obtain the particular solution when x=3 and y=7: - (x + y −…

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Q: As shown, a member is fixed at the origin, point O, and has an applied force F, the tension in the…

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Q: fter adding vectors you find that the x component F the resultant is -16 and y comp is 7. nd the…

A: angle is given by tanθ =Ay /Ax

Q: A fire fighter 32.0 m away from a building, directs a stream of water from a fire hose at an angle…

A: Given that, The initial position of the person, xi is 0 m. The final position of the person, xf is…

Q: (3) Using the i + J+ k vector notation, what is the vector created by adding together two vectors A…

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Q: Where a>b the distance between the points (a, c) and (b, c) is (a-b) units. true or false

A: Given that a > b. We have to find distance between points (a, c) and (b, c).  Take c as origin.

Q: Consider the two vectors shown below. The two vectors have magnitudes of IAI=20|A→|=20 and…

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Q: Given the displacement vectors A = (7.00 -9.00 +7.00 k) m and B = (4.00 i +5.00 -9.00 k) m, find the…

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Q: 1. If A= 121 – 16j ana B = -241 + 10j what is the direction of the vector = 2Ã-B' +21° -41° +49°…

A: Given data:

Q: (a) In unit-vector notation, what is the sum of a = the magnitude and (c) the direction of a + b…

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Q: A surveying team records the following displacement vectors on three days (24 hour days) of walking,…

A: Given: Displacement vectors corresponding to three days are given d1 = (7i + 8j) km d2 = (6i + 2j)…

Q: (3î - î). B В and (h) B-B. 60" A 10 0 30° 30° 53 D 20.0 37 62. Assuming the +x-axis is horizontal to…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Given vectors A = a, + 3a, and B = 5a, + 2ay - 6az, and C = a, +a„ + 6az. determine: (с) А - В — |В?…

A: (d)     (i) Given,   A→ = ax + 3 az = (1)ax + (0)ay + (3)az            Component of A→ along ay =…

Q: Determine the magnitude of the vector difference V-V₂-V₁ and the angle 6, which V" makes with the…

A: In the given question, Vector V1 = 12 units Vector V2 = 15 units θ = 550 We are required to find the…

Q: Two vectors are given by a 4.0 m 3.0 m ) + (1.0 m ) and b = ( -1.0 m )i + (1.0 m )j + (4.0 m )k. k.…

A: We know that vectors are represented in many ways. One way is to represent them in unit vector…

Q: PROBLE A surveyor walks as shown in the figure then due south for 10.0km. What is his total…

A: Q 1) The ratio of distance moved is South and East is 2:3. Let them be 2x towards south and 3x…

Q: consider vector A and the given lengths for Ax and Ay. What is the length A (the hypotenuse) Ay=8-2m…

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Q: the sum of the three vectors in

A: To Data :  sum of three vectors

Q: [Q5] Given the sum and difference between two vectors, A+B= - +5y-42, A-B=32-y-2%, find the…

A: Given the vector sum A + B and the vector difference A - B, we can find the values of vector A and…

Q: Find the A)magnitude of vectors A and B, B)the unit vectors expression for A-B, and the magnitude…

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Q: nd the vector v having length |=2 and direction 0 = 135°

A: Given values:- v=2 -----(1) Direction,(θ)=1350 ----(2) Now according to the vector condition, we…

Q: Given the normalizing term found in the previous part in 3 dimensions (i, j, k); what will the…

A: Problem from vector calculus. Please have a good look

Q: wo vectors are given by đ = 1.3i + 1.8) and 3 = 7.9î + 1.6). Find (a) à x B (b) ở - B.(c)( a + B).…

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Q: 12. Two vectors are given as follows: A = 3i + 5j- 4k B = 3i + 4j + 2k The vector sum of two vectors…

A: Data  we have A→=3i^+5j^-4k^B→=3i^+4j^+2k^

Q: 15) A block is moving at increasing velocity on an incline plane (0). Which of the following is'are…

A: Question 15 Given;- A block moving at increasing velocity on an inclined plane  Find;- which of the…

Q: 9. Consider the vectors a = ê + 3 ŷ and b = - ŷ. Please calculate and plot accurately the following…

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Q: . Two vectors are given by a = 41 - 31+ k and b = −î + ĵ + 4k. Find (a) a + 5, (b) a - b, and (c) a…

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Q: Determine the x and y scalar components of F= 300 lb 2.

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Q: The position vector for an electron is 7 = (1.2 m )î – (7.3 m )3 + (5.3 m )k. Find the magnitude of…

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Q: a/ What is scalar component of vector W in direction of vector P?  b/ Smallest angle vector P makes…

A: This question can be easily solved by applying the basic concept of vectors and scalars .

Q: Add these three vectors and give just the magnitude (or length of the resultant, that is do steps…

A: For the given three vectors :R⇀=A→+B→+C→

Q: Problem 2-95, for this problem, just determine the position vectors AB, AC and AD in Cartesian and…

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Q: These are the component forms of vectors u and w: ū u = (1, 1) w = (2, 4) Subtract the vectors. ū -…

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Q: Find the unit vector ˆeD in the direction of vector D~ = 1/2 ˆı +ˆj + 2/3 ˆk .   (a) 1/√ 61 3ˆı +…

A: The vector D can be given as, D→=12i^+j^+23k^

Q: Let vector a = and vector b = Find a x b

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Q: Two vectors are defined at point P as F = 10a, – 3ag + 5as and G = 2a, + 5a, + 3ag. %3D Determine…

A: The two vectors are given as, F→=10ar-3aθ+5aϕ, and G→=2ar+5aθ+3aϕ. TO DETERMINE: (a) The dot product…

Q: What is the magnitude of the vector (17î − 27) m/s?

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Q: Consider a vector a = N i=1 ₁a¡ê; expressed in an orthonormal basis. Which of the following…

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Q: Vector C can be written (-3i+1j) cm O (-4i+2j) cm O (i-3j) cm (2i+-4j) cm y (cm) 2 1 x (cm)

A: