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Q: A sphere of radius r has surface area A = 4πr2 and volumeV = (4/3)πr3. If the radius of sphere 2 is…
A: a)The ratio of the areas, A2/A1
Q: Given: A: A, 36.6, A,= 31.2 JB = 18.5 B: 0B = 35.9° (a) Calculate the x-components and y-components…
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Q: On a plane flat surface with "up" given as +y and "right" given as +x, we add two vectors. One of…
A: Given data: One vector has components = (3,4) Second vector has components = (-1,-4) Required:…
Q: Find the following quantities for A⃗ and B⃗ A⃗ = −12mˆi + 4.0mˆj + 1.5mˆk B⃗ = 2.8Nˆi − 21Nˆk (a) A⃗…
A: Given, A = −12mˆi + 4.0mˆj + 1.5mˆk B = 2.8Nˆi − 21Nˆk
Q: onsider the parabola y = 7x - x², (a) Find the slope of the tangent line to the parabola at the…
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Q: If vector A=[24, 160degrees] and vector B=[30, 40degrees] then what is the magnitude of 2A+B?
A: The magnitude of 2A+B can be calculated in given steps.Given:
Q: or the two vectors: (vectors)G= 2ˆi-3ˆj+1ˆk and (vector)H= 2ˆi+1ˆj-1ˆk what is (vector)G· (vector)H?…
A: Given data The vector G is given as G→=2i^-3j^+k^. The vector H is given as H→=2i^+j^-k^. The dot…
Q: two points are given in polar coordinates by (r, ?) = (2.20 m, 50.0°) and (r, ?) = (3.00 m,…
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Q: Two points in the xy plane have Cartesian coordinates (6.00, -4.00) m and (-7.00, 7.00) m. (a)…
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Q: Determine the following for a point with the rectangular coordinates (1.060, 2.930) m. (a) the polar…
A: Rectangular coordinates of a point = (1.06, 2.93) m to find : polar coordinates of this point
Q: A vector has components Ax = 48 m and Ay = 21 m. Find the length of the vector A and the angle it…
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Q: = Consider the three displacement vectors A = (-41 - 31) m, B = (51- 3ĵ) m, and Ĉ method to…
A: Vector.
Q: Given the following three vectors: A = -9î+7}, B =-6î -10} and vector C has a magnitude of, |=9 and…
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Q: For an angle, u measured from the positive x - axis, the valuesof sin u and cos u are always (choose…
A: Maximum value of sin and cos functions are +1 and the minimum value for both is -1.Thus, option (d)…
Q: Given: A: Az = 43.4, Ay = 35.4 B = 16.3 B: 0B = 39.7° (a) Calculate the x-components and…
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Q: The vector product of vectors A and B has magnitude 20.0 m² and is in the+z-direction. Vector A has…
A: The vector form of the vector A can be given as, The vector form of the product of the vectors A…
The triangle has an angle γ= 139 degrees and the smaller sides M and N equal to 5.00 and 9.00
What is the length of Z?
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- (b) Sphericals x=r sine coso y=r sine sino z=r cose Consider spherical coordinates as defined by their relationships to the Cartesian coordinates: x =r sin 8 cos p X2 =r sin 0 cos X3 =r cos 0 r2 = [xỉ + x3 + x e = tan-(x? + x3)x3 $ = tan-(x2/x1) orThe x and y coordinates of point P are (-8.50 m, -7.00 m). What is the polar angle of point P?Let a = (a)a + b and a-b b (b)-2ā + (c) The magnitude of a and b (d)a × b (e) Show that a. (axb) = 0 and b. (axb) = i-2j-2k and b= 61+31 + 2k; Find?
- gle between the two vectors A = 21 + 3j and What is the angle between the two vectors A = 2i + -3j and B = i- 2j is * O o° 120 60 90 3 ing 4 ingVectors A and B are in the xy plane.Vector A has a magnitude of 8 units and an angle of 130 degrees.Vector B has components Bx=-7.72 and By = -9.20.What is the angle between the negative y angle and the vector product A x B?Find the area of the triangle determined by the points P, Q, and R. Find a unit vector perpendicular to plane PQR. Р(- 1,1, - 2), Q(-2,0,1), R(0, -2, - 1)
- A rectangle has a length of (5.1 ± 0.2) m and a width of (2.3 ± 0.1) m. Calculate: (a) the area and (b) the perimeter of the rectangle, Give the uncertainty in each value.A displacement vector 7 in the xy plane is 44.0 m long and directed at angle 0 = 38.0° in the figure. Determine (a) the x component and (b) the y component of the vector. (a) Number Units (b) Number Units- Three vectors, a = 6î +2ĵ – 4k , 5 = -3î +4}+ 2k , č = 6î +7ĵ+3k , Find the following: а) За b) cxb c) За. (с х b) 2. Find the angle between Two vectors a = 41-6j and 6= 3i+7j and plot both vectors