Rotate this point (3, 2, 0) 180 degree about Y axis and find the new position of the point. O a. (-3,-2,0) O b. (-3,2,0) O c. (3,2,0) O d. (3,-2,0)

Q: If r = (x, y, z), prove that v ( ² ) = - = /1 r

A: To prove: The ∇1r=-r→r3. Given: The given vector is r→=xi^+yj^+zk^.

Q: Find the certroid

A: Given: To determine: The centroid

Q: 1. 2. Find the components of T. 4 Find the components of T2- (Reminder: cos(a) = == T = 6m 30% -40⁰-…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: Use the dot product to find the angle between the position vectors A and B

A: From the given figure, calculate OC using the Pythagoras theorem. OA=180 mm2+200 mm2cos40°…

Q: Find the equation of the circle passing through the points(1,2)having its center(4,6)

A: Solution     The equation of the circle             x-a2+y-b2=r2

Q: | 8 kN 6 kN 1.5 m 6 kN 1.2 m 1.2 m Prob. 02

A:

Q: H.W. Determine the resultant and angle for the figure below: Fl=400N 30 60 F3=200N F2=300N

A: Find the resultant and angle .

Q: Replace the distributed loading by an equivalent resultant force and spe- its location on the beam,…

A:

Q: Write the position vector B/A that points from point A to point B.

A:

Q: The three points A (0, 2, 2), B (1, 4, 1), and C (3, 0, 0) define a plane. The coordinates are in…

A:

Q: Find the resultant of the vectors and it's direction. Vector A (2,6) and B (8,1)

A: Given:- vector OA= 2i + 6j Vector AB= (8-2)i + (1-6)j = 6i - 5j

Q: 3. Determine the magnitude of the vector sum V = V1 + V2 and the angle which it makes with the…

A:

Q: a:\ If A- 21 - 3j + k and B--i+3j+3k Find: 1- The angle between the two vectors. 2- Unit vector…

A: For solution refer below images.

Q: Q1 Rotate the box in the figure, about line OA clockwise by 30°, then about line OB counterclockwise…

A: In this question the box is rotating about the line OA clockwise by 30o and after that it is…

Q: determine the magnitude and direction of R

A:

Q: 1 d. The point A has coordinates (4, 1), AB = 9 5 BC Find the coordinates of B and the column vector…

A:

Q: Points C and D are located at (1, 2, 4) m and (2, -1, 1) m respectively. Determine the length of DC…

A: Given Data Points(1,2,4)m Points(2,-1,1)m

Q: Find the resultant and a. RY R-50.8 N: alpha - 23.9° R-101.64N; alpha- 23.7° R-50.8; alpha--23°…

A: Given: Rx = 93 N Ry = -41 N To find: resultant R and angle

Q: Find the vector (r) if R = -3F j and M = -(sqrt(3)/2)bF i. Select one: y b ar = 2h/sart(3) k F 8 b 8…

A: The net resultant force is The moment is

Q: e the force F in Cartesian vector form and determine the direction cosines. Use point C as (1.5, -1,…

A:

Q: find the moment at A

A:

Q: Determine the moments of inertia of the shaded area about the x and y axes.

A:

Q: 5- Express the vector 2i+ 3j -k in the primed triad i'j'k in which the x'y'-axes are rotatec about…

A: To express: The vector 2i+3j-k in primed triad i'j'k'in which x'y' are rotated about the z-axis…

Q: 0 Three forces act on point : A = 60 N at 135°, B= 50 N at -45° and, C=75 Nat 60°. Estimate the…

A: given; A=60NB=50NC=75Nresultant force(R)=?direction(θ)=?

Q: 3-50 with the following modifications: Change the z-coordinate of point A from +6 ft to +8 ft

A: 3-50 with the following modifications:Change the z-coordinate of point A from +6 ft to +8…

The Space Lattice and Unit Cells

Every matter consists of atoms, molecules, and ions. If these atoms, molecules, and ions (micro-particles) are represented in a three-dimensional space-occupying certain specific points in space, then these arrangements are termed as space lattices and the specific points which are being occupied by atoms, molecules and ions are termed as lattice points. The atoms, molecules, and ions at the lattice points are generally grouped in a regular fashion and repeat periodically at the three-dimensional space.