A force acting at some point is given as F=5i+ 3j+2k,N Find 1. the y-component of F. 2. the component of F along the vector 7 31- 41, m, %3D

Q: 1.55 The force R is the resultant of P and Q. Determine Q and the angle 0. 55° Q P=3 kN R=2 kN

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Q: Demonstrate the sides of the triangle in terms of vector. Please refer to the given.    Given:…

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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: Determine the magnitude and direction of 2D - E given D = 3i – 6j and E = 0i + 2j. %3D

A: The multiplication of scaler with vector is defined as mA→=m(ai^+bj^+ck^)=mai^+mbj^+mck^ Here m is…

Q: In each case, find the x- and y-components of vector A: (a) A=5.0 – 6.3;: (6) Å = 11.2j – 991f; () À…

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Q: 1.) Transform each of the following vectors to cylindrical coordinates at the point specified. a) A…

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Q: 2. What are the x- and y-components of the vector E? A. Ex = E cos B, Ey E sin B B. Ex = E sin B, Ey…

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Q: Draw the vector C = Ã+2B. %3D Only the length and orientation of vector C will be graded. The…

A: Here it is given as B is negative of one unit. And A is positive of four units. So, C→=A→+…

Q: Let A = (25 m)i + (45 m)/ and B = (-25 m)ỉ + (45 m)j . The angle between these two vectors is: A)…

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Q: It is given as A =i-3j+2k and B =2j-4k. What is the angle between vector A and vector B ?

A: Given  A =i-3j+2k   B =2j-4k.

Q: 1. Two vectors A = 2 i +2j +3k and B = 2 i-3j +Ak have the same magnitude. Find out the value of the…

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Q: 3. Find the angles e, 8, and Y that the vector M= 40 +3.0j + 5.0 k makes with x, Y and z axes. Draw…

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Q: 27 a0 what are, in unit-vector notation, (a) d¡ and (b) dz? If d, + d2 = 5d, d, – dz = 3dz, and dz =…

A: Given d1 + d2 = 5d3 d1 - d2 = 3d3 d3 = 2 i + 4 j

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: Given three vectors A = -78 +93 – 4k,B = -6î + 33 + 12k and C = 152 – 47 + 7k which of the following…

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Q: Given the following vectors: Ā = 2i – 5j + k B = 3i + 4k C = 2i – j + 2k %3D %3D 3D %3D | Find: a)…

A: Given: A→=2i-5j+kB→=3i+4kC→=2i-j+2k

Q: Two 3D vectors are given d = 4i – 3j + 1k 3 =-li + lj + 4k Find (a) 글 + 7 (b) 값-ㅎ (c) if R-27 +37 =…

A: a. a→+b→=4i^-3j^+1k^+-1i^+1j^+4k^=3i^-2j^+5k^

Q: 25. Consider vector F as shown below. Fay What is the z- component of F? C. F sin 0 cos o A. F cos 0…

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Q: Force m (g) w (N) = mg θ (°) F1 60.0g = 0.06kg 0.588N 95° F2 75.0g = 0.075kg…

A: Given : F1 = 60g or 0.06kg or 0.588N and θ1 = 95° F2 = 75g or 0.075kg or 0.735N and θ2 = 215° F3 =…

Q: (1) In the primary lab document, the following example is given: 120N F = +(60.0 N) +(103.9 N)f F2 =…

A: A polar coordinate system is one in which, each point on a plane is determined by a distance from a…

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: For vectors B = 22 – 6ý and A = - 5a- 4ŷ calculate: %3D - a. Ā + B = |Ã + Ē| = %3D Direction in…

A: Given value--- A = -5x - 4y. B = -2x -6y. We have to find--- magnitude and direction of A + B.…

Q: Compute for the y-component of 25.0174-unit vector directed 214.6415 degrees with respect to the…

A: Given  The unit vector is given as r=25.0174 Direction of the vector with respect to positive x axis…

Q: If vector A = 10 i + 2j° and vector B = 5 i + 8j, then 5 A+4 B = %3D O a. 70 f + 42 j O b. 70 i +-22…

A: We know the individual vectors. A=10i^+2j^B=5i^+8j^

Q: Find a direction vector for the line with parametrization r(t) = (4 – 1)i + (2+51)j+ 3rk. %3D

A: The direction vector along a vector is a unit vector in that direction. A unit vector is a vector…

Q: Determine the angle between that the 5 kN force F and the positive sense of the y axis. F=5 kN 35°…

A: Given diagram:

Q: Find the angle between the vectors A = 2i + 6j + 3k and B = 12i – 4j + 3k. Hint: a .b = ab cose %3D

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Q: Calculate the vector a x b when a = 2i +j -k and b = 3i - 6j + 2k %3D

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Q: Problem 14: Assume you have the following two vectors: A = 1li+17j+15.5k B = 3.3i+ 8.5j - 1.5k What…

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Q: In the cross (or vector) product F = qv x B we know that q = 1. F = -36i + -14) + –40k - 6.0î + 4.0j…

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

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Q: Demonstrate the sides of the triangle in terms of vector. Please refer to the given. Given:…

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Q: For vectors B = - Î - 4ĵ and A = - 3î - 2j. %3D %3D

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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: If direction angles are B 96° and y 37°, then get the unit vector. %3D û = ( i +

A: Given :             β = 96°γ = 37°

Q: If A + B = 6i + j and A - B = - 4i + 7j, then the angle (in degrees) enclosed between the two…

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Q: Question 6 Solve the following given vectors A, B and C: A = 2î + 33+ k %3D B = -4î + 23 - k C = 21…

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Q: F, + F, ve F, - F, vectors are given in the plane in the figure. What is the size of the vectoi F, ?

A: Answer  option(E) 1.41

Q: 1. The polar coordinates of a point are r = 5.50 m and 0 = 240°. What are the cartesian coordinates…

A: The polar coordinates of a point are givenr = 5.5 m θ = 240° We need to find the cartesian…

Q: Find the angle between vector a and b if a =i+ 3j + 2k and b = 2i-6j-3k %3D

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Q: Solve for the required using the given vectors A = 31 – 8j + 6k B = 4 j+ 9k – 5i α. Α.Β b. b. А хВ

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Q: Q4: 1) Find the value of x that makes a perpendicular with b if a =i+j+ 3k., b= 2i + 7j – x k 2)…

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Q: 3. Find the angle and magnitude of the force below T=300N 200 30kg

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Q: A force vector has components given by F = -7.45 N and F d Fy = 4.40 N. Find the following. %3D %3D…

A: Given: FX = -7.45 N and FY = 4.40 N

Q: 2.) Give the negative of the following vectors:A = 6.0 units SE and B = 7.5 units 67° N of W. %3D…

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Q: (a) an axis through O perpendicular to the page and (b) an axis through C perpendicular to the page.

A: we know that torque about a point = r x f  where r = perpendicular distance from line of action of…

Q: 4. Four vectors A, B, C, and D, all have the same magnitude. The angle between adjacent vectors is…

A: Let the magnitude of each vector = Y A→ = Yj^B→ = Y× (cos45oi^ + sin45oj^)B→ = 0.7Y i^ + 0.7Y j^C→ =…

Q: 3.) A = 3i + 4j - 5k and B = -2j + k. a) | 2A - B| b) Vectors A and B What is the angle between? %3D

A: Given: A=3i+4j-5k B=0i-2j+k

Q: 1.1(a) If |B| = 18 m and B points along the negative x-axis, what are Bz and By? (b) If C# = -3 m/s…

A: X component Bx=-18 m Since vector lies along negative x-axis, y component is zero. Y component By=0…