If A + B = 6i + j and A - B = - 4i + 7j, then the angle (in degrees) enclosed between the two vectors (A and B) is: a) 73 1b) 107 c) Zero e) 100 06 (p

Q: A = 2î + 3j + & B = -41 + 23 – k C = 21 – 3j + 4k a) (AX B) · č b) (BX A) c) (AX B) · (CX B) d)…

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Q: 2.2 Express the following points in cylindrical and spherical coordinates: (a) P(1, –4, –3) (b) Q(3,…

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Q: Two points are given in polar coordinates by (r, 0) = (1.80 m, 50.0°) and (r, 0) = (3.00 m, -48.0°),…

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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: Using the data presented in the drawing and that 8 = 44°, determine the y-components of the vectors…

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Q: Two vectors A⃗ A→ and B⃗ B→ are at right angles to each other. The magnitude of A⃗ A→ is 2.00. What…

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Q: 1. Two points in the xy plane have Cartesian coordinates (2.00, -4.00) m and (-3.00, 3.00) m.…

A: coordinates of first point = (2,-4) m coordinates of second point = (-3,3) m

Q: rmine the smallest angle between vectors D and C, and smallest angle between vectors D and B

A: The vector diagram of four vectors A, B, C & D respectively is drawn below:- Now angle break…

Q: If A = 34 m, B = 34 m, and the magnitude of A + B = 48, which of the following is true? O A and B…

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Q: 1. If a = (1, 1) and b = (4,3), find 2 so that a. a and b are orthogonal b. The angle between a and…

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Q: Calculate the angle between the vectors: A = 6.8i - 3.4j - 6.2k and B = 8.2i + 2.3j - 7.0k.

A: Given Data : A→ = 6.8i - 3.4j - 6.2k  B→ = 8.2i + 2.3j - 7.0k We have to find out the angle between…

Q: Determine the centroidal y-coordinate (in mm, round-off to 2 decimal places) of the plane region…

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Q: Vector ở has a magnitude of 3 units and it creates an angle of 160° with the positive x-axis. Find…

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Q: Two vectors Au and Bu are at right angles to each other. The magnitude of Au is 1. What should be…

A: Given, A=1 Resultant R=2 Angle A=90o

Q: Given the two vectors: A =(3i -5j) and B = (4i +4j) %3D %3D The smallest angle enclosed (6gs)…

A: we have given 2 vectors. vector A→ &vector B→A→ =3i^-5j^ & B→=4i^-4j^ let 'θ' be the…

Q: on subtituting the rupected valuej in the above relation we get: R= 2 cos ST + asın i5 +4 cos 25i +…

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Q: A - 10.0 at 30.0° above the +x-axis; B - 12.0 at 60.0 ° above the +x-axis; and C - 15.0 at 50.0°…

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Q: If Å = 2î + 2j – 3k, B = -4i -2j +3k, and C = Ã+ B. Then the angle between the vector C nd the %3D…

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

Q: Two points in a plane have polar coordinates (2.5m, 30°) and (3.80m,120°).Determine a) the catesiam…

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Q: You have been given the points below (they are in the x-y plane). Figure the corresponding polar…

A: in this question  we draw a figure i do not have a graph paper so i did on plane paper.

Q: If |A + B| = A+B and neither A nor B vanish, then: Select one: O a. the angle between A and B is 60?…

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Q: For any two nonparallel and non orthogonal vectors a and b with angle between them, it holds that…

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Q: Given the vectors A= 2.00î + 6.00j and B 13.00i – 2.00j, (a) draw the vector sum C = A + B and the…

A: Given the vectors A= 2.00 + 6.00j and B =3.00 i - 2.00j,   (a) draw the vector sum C = A + B and…

Q: Three points, A, B, and C, exist on an XY-plane. The positions of points A and B are (3,1) and…

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Q: Find an equation for the plane through the points (-6, 8, –1) and (-1,3,–8) and perpendicular to the…

A: The equation of the perpendicular plane is-4x-3y+8z=0Equation of a plane is given…

Q: If u = (-1, 1, 1) and i = (0,0, 0), find the length and direction of u x i and i x ủ. Length of u x…

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Q: 56. If D (6.00i –8.00j)m, B = (-8,00i + 3.00j)m, and A (26.0i +19.0j)m, find the unknown constants a…

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Q: K 118 eb 21° 125 와 R = = 38° 58 130 ll

A: Given forces are, F1=125 lbF2=118 lbF3=130 lb The angles are, θ1=21°θ2=38°θ3=58°

Q: Two vectors A= 11-2j and B = 21 +3j.Find the approximate angle between the vectors (-3A) and (2B)?…

A: Solution: Given that A =i-5j B = 2i+3j to find the angle between -3A and 2B

Q: 45. Let S=(1 m)î + (2 m)ĵ +(2 m)k and T = (3 m)î +(4 m)k. The angle between these two vectors is…

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Q: When three vectors are added graphically and form a closed triangle, the largest enclosed angle…

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Q: If A + B = A+B and neither A nor B vanish, then: Select one: O a. A and B are parallel and in…

A: We have to use the triangle law of vector addition

Q: Your answer is partially correct. Try again. Three vectors á, b, and ć, each have a magnitude of…

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Q: Two points in the xy plane have Cartesian coordinates (3.50, -5.00) m and (-6.50, 6.50) m. (a)…

A: The transformation equation for cartesian to polar coordinates is : r=x2+y2andθ=tan-1yx

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: vector a = , vector b =  what is the value of vectors a*b.   what is the angle between vector a…

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Q: Two points in the xy plane have Cartesian coordinates (3.50, -5.00) m and (-6.50, 6.50) m. (a)…

A: a) Given data  The coordinates of point A is given as, x1,y1=3.50,-5 m The coordinates of the point…

Q: 6. Given vectors A = 2âz + 4ây + 10â, and B = –5âp + âs – 3âz, find %3D (a) Ã+ B at P(0, -2,5) ,…

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Q: Vector A has a magnitude of 8 units and makes an angle of 45.0 degrees with the positive x-axis.…

A: For vector addition, we resolve each vector into horizontal and vertical components and then add…

Q: The angle between A and B when A.B = 0 is a. 0 c. T/2 b. π/ d. t/6

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Q: A vector is given as follows: A = +27 - 27 - 37 The angle between vector and the y-axis, in degrees,…

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

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Q: Two points are given in polar coordinates by (r, 8) = (1.20 m, 50.0°) and (r, 0) = (4.00 m, -42.0°),…

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Q: Calculate the area formed by the two vectors A =3 i +2j+k and B = i-3 j-2k. Also find out the angles…

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Q: Determine the magnitude (lb) of the vertical reaction at A when α = 32°, a = 8.52 in, b = 9.57 in, y…

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Q: What is the angle between the following vectors? A =-2i + 3} B = 31 - 4) %3D O 1770 O 1370 87

A: Two vectorsA→=-2i→+3j→B→=3i→-4j→To find:Angle between the vectors, θ=?

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.