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

Q: For A= 1 + 2ĵ-K, B = -21 + 2ĵ+ 4k, and C = 23 - 2k, find C. (A - B). Be careful when subtracting…

A: Given data:  Three vectors  A = i + 2j - k B = -2i + 2j + 4k C = 2j - 2k

Q: Question 51 What is a direction perpendicular to the plane defined by A and B, where A = (-2î – 3ĵ +…

A: Given: A→=-2i^-3j^+8k^  B→=7i^+5j^+6k^

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

A:

Q: 2) IF A = ax + 3az and B find AB. 5ax + 2ay -692, %31 %3D

A:

Q: 5) With A any vector, (Ā · V)F = Ā. (a) Verify this result in Cartesian coordinates. (b) Verify this…

A:

Q: 3. How can you tell whether or not the points on the graph represent a linear relationship? Would…

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Q: 52) Displacement di is in the yz plane 63.0° from the positive direction of the y axis, has a…

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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: 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: . Water at the top of Horseshoe Falls (part of Niagara Falls) is moving horizontally at 9.2 m/sm/s…

A:

Q: Determine the resultant of the following: 8.0N at 40°, 9.0N at 120°, and 12.0N at 200°, all angles…

A: Given that, First force = 8.0 N at 40° Second force = 9.0 N at 120° Third force = 12.0 N at 200°

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: 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: A butterfly flies from the top of a tree in the center of a garden to rest on top of a red flower at…

A:

Q: 23) Complete the statement. "The angle of elevation and the angle of depression of two given objects…

A: The angle of depression is an angle between the horizontal line and the observation of the object…

Q: A fly lands on one wall of a room. The lower-left corner of the wall is selected as the origin of a…

A: Position = (2.2 , 1.2 ) m  A) distance from origin= ((2.2)2 + (1.2)2)1/2  = √6.28  = 2.5 m

Q: an elk runs a pattern given by the four displačement 3.20 m, and B = 5.10 m and C = 4.80 m.…

A: We know that here in the figure four-vector areas  Vector A = 3.20 m ,Vector B = 5.10 m, and vector…

Q: 2. Position of W2 with W1 at the 1-cm mark. 50 cm 1 cm C.g = %3D cm W1 W2 Note:W1 is lighter than W2

A: Here,  We have to give the torque equation. We also have to find the position of W2 . Let's see how…

Q: 1. The three vertices of a triangle are located at A(6, -1, 2), B(-2, 3, -4) and C(-3, 1, 5). Find…

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Q: GIVEN: A = 50 N 60 deg %3D B = 30 N 30 deg %3D C = 80 N 250 deg D = 70 N 45 deg - Find resultant…

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Q: 5. One strategy in a snowball fight is to throw a snowball at a high angle over level ground. While…

A:

Q: 1. Determine the resultant of the following: 8.0 N at 40°, 9.0 N at 120°, and 12.0 N at 200°, all…

A: Analyze the FBD of the given system. Note: Consider the rightward direction to be positive and the…

Q: 5) The sum of two vectors A and B is at right angles to their difference. Prove algebraically that…

A:

Q: 2. Given Right triangle ABC, C is the right angle, a = 5 &b = 12. Find A, B, and c.

A:

Q: Match the vector to its description.  The vectors are given by their components in 3D space, that is…

A: According to question we need to Match the vector to its description.

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

A:

Q: 19. In the diagram the correctly marked angles are Zi and zr Zrand ze a. b. Li and 2 e Zi, zr and 2…

A: Given, Angle i,r, and e in the diagram As we know that all angles measured from the normal line. so,…

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

A:

Q: a+2 If y = 6– what is the value of y when x 5i? 유+ 61; 40 - 18 + i 13 - 61 61 贵+曾: 13 一器+ -

A: Given:y=x+26-z, Find the vakue of y.when, x=5iNow, componendo and dividendo ruley=x+26-z×6+x6+x…

Q: Problem 1 Vector A = -5i + 4j. Vector B = -8i - 6j. %3D a) Find the dot product A B. Give your…

A: A = -5i +4 j B = -8i -6 j

Q: 1. Determine the resultant of the following four vector displacements. (Scale: 1cm = 10 m Use…

A:

Q: If ū = (7, –6, 0) and i = (1, 1,0), find the length and direction of ủ x ủ and i xu. %3D Length of u…

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Q: A fly lands on one wall of a room. The lower-left corner of the wall is selected as the origin of a…

A: Given that, Position of body at P, x = 2.10 m…

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

A:

Q: (multiple choice) The equation E = kq/r2 applied to (explain why that answer is correct): a. all…

A: Electric field due to point charge can be given as:

Q: Estimate the first derivative of 4 3 2 f(x) =-0,1x°-0,2x*-0,3x°-0,25x- 0,5x+1 %3D

A: The first derivative of a dependent function with respect to the dependent variable is given as:…

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

A:

Q: 2) A is 8.5cm long and pointed to the right (+x axis). B is 6.0cm long and pointed up and to the…

A: solution is given as

Q: 5x Suppose a point has polar coordinates 5, with the angle measured in radians. Find two additional…

A: Since we need polar representation so the radius remains same i.e = 5 units  But the arguement can…

Q: 3)The rectangle shown in Figure has sides parallel to the x and y axes. The position vectors of two…

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Q: IV.Sketch the ff. curves: Find all its properties. X 1. y= In x 2x-3 2. y= x² + 4 3. y²=x²-² -

A: Given: a). y=xln x b). y=2x-3x2+4 c). y2=x2x-1

Q: A Water Balloon Battle. You are launching water balloons at a rival team using a large slingshot.…

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Q: 3 points If U(x,y)=In(x²-y) then Ux+Uyy= XX O (2x-xy)/ x^2+y^2

A:

Q: Calculate the divergences of cach of the following vectors: (a) v = 3k (b) ở = r (c) v = (4xz + y²)…

A: Since you have posted multiple questions, according to company policy we will answer only the 1st…

Q: 1) For A = 2î - 3j and B = i+ 2j-k vectors; a) Determine the angle between the vectors A +B and A-B;…

A:

Q: 47. B =-i – 4 j For vectors and A A =-31 - 2i. calculate (a) A + B and its %3D magnitude and…

A: 47. a. magnitude of A+B is

Proper Length

The theory of special relativity explains the connection between space and time to objects that move in a straight line at a constant speed. The objects move at the speed of light. When an object approaches light speed, its mass is endless and cannot move faster than light. The most crucial postulate of Einstein's special relativity is that the laws of nature do not change in each frame of reference.