Determine the centroidal y-coordinate (in mm, round-off to 2 decimal places) of the plane region shown. 60 -20- 80 30 90 30 1

Q: d) Draw the direction indices [1 0 1] within a cubic unit cell.

A: Direction indices are [1 0 1]

Q: 5. Evaluate the integral by making the given substitution. (Use C for the constant of integration)…

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Q: Which of the following polar coordinates have the same position as (4, Tt/2)? ОА. (4, -п/2) ов. (-4,…

A: Original position = (4 , π2)

Q: Find the angle between vectors A = i- - j + 2k and B = 3i + 2j +4k.

A:

Q: If the Cartesian coordinates of a point are given by (-1, y) and its polar coordinates (r, 120°).…

A: given that    Cartesian coordinate =( -1 , y )  put  X = -1    Y = y polar coordinate =( r, 120°)…

Q: b) Using the figure on the left. draw the directions [100], [Ž10], [130J,[130], [110]

A: Here given the figure of a lattice .We have to draw the points.

Q: Eing (Āx C) - (Č × B) given the following vectors: A = 21 + 5) B = -31 – j+ 2k Č = 1+ 4] ... А 51 B…

A: Vectors, A= 2i^+5j^, B = - 3i^-j^+2k^  and C = i^+4j^

Q: Given the following three vectors: A = -9î+7), B = -61-10) and vector C has a magnitude of, 9 and…

A: Given that, The vectors A and B are A→=-9i^+7j^B→=-6i^-10j^ the magnitude of the vector C is C→=9…

Q: -2n de The value of the integral I = o 2+cos 0 2n V3 V3

A: Solution:   Given Integral equation is as follows:   I=∫02πdθ2+cosθ   We know that,…

Q: Q2- If a = 2 i-j+ 2 k and b = 4 i- 3 k, find the magnitudes of a and b and the angle between them.

A: Given : a = 2i-j+2k b = 4i-3k

Q: b) Draw direction vectors in unit cells for the following cubic directions: i) (241) ii) (3 I 3)…

A: i For 2  4  1 the intercepts is  a  b  c=12  -14  -1 ii For 3  1  3 the intercepts is  a  b  c=13…

Q: 6-21. Locate the centroid y of the area. 4 ft 1=1/2² 4 ft x

A: Concept: The Schematic diagram of the system is given below: Here in this diagram, we are…

Q: Problem 2 Identify the Miller indices for the direction shown in (a) and the plane shown in (b).…

A: a The Miller indices for the direction shown is obtained by: x y z=34 12 ∞ Take a reciprocal to get…

Q: What is the scalar/dot product of the given 3-dimensional vectors: A = (xy)i + (2yz)j + (3xz)k and B…

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Q: Let 2 vectors å anb b a 121=53161-5 in the plane of modules. How much is the magnitude of their e…

A:

Q: c) Identify the Miller indices of this plane: 2/3

A:

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

A:

Q: Given vector A =   and vector B = , what is A dot B?

A:

Q: What is the angle between vectors A - 2i + 3j + k and B- 3i • 2j + K? O 21.79 O 42.88° 85.90° O…

A:

Q: in plane polar 3. The point (1,1) in rectangular coordinates is equivalent to coordinates.…

A:

Q: Cx = 0, Cy= A Sin 60o+ B Sin 30o Ax and By point in the positive x and y directions, respectively.…

A: StepI:∙A→+B→  are added together to form  C→=A→+B→∙Cx=0,  Cy=A sin 60+B sin30∙We need to find the…

Q: Let a = ci + j and b = 16i + 12j. Find c π so that the angle between a and bis Round your answers to…

A: Given: a=ci+jb=16i+12j The angle between a and b is π6.

Q: Assume = 36 and H = 4. Determine the x-component of H.

A: Given: The angle is alpha = 36 degree The magnitude of the vector H = 4 units

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

A:

Q: CLO 4 If the plane x+y+z-1=0 cuts the x-axis, y-axis, and z-axis at A, B, and C respectively. Find…

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Q: 1. (0, 8) and (8, -6) 19. (3, 7) and (-9, 5) 10. (6, 3) and (10, -7)

A: We have to find the mid point of the points given above I am doing the first three subparts…

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: If =- 3;-63+ 1kand č= - 33 - 23- 3g, what is the magnitude of č x B (give your answer to the nearest…

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

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Q: 7. DETAILS Two points in the xy plane have Cartesian coordinates (4.00, -3.50) m and (-7.50, 7.50)…

A:

Scalars and Vectors

Scalars and Vectors are the classification of physical quantities that are used to denote various terms in physics.