Ex:- Find the area of the triangle whose Vertices are P.(l,-!, o), Q(2,1, -1) and R(-1,1, 2)

Q: Fill in the blanks in the following: 1. The vectors A and B are parallel if A. B = 2. If (9,5,-4, 2)…

A:

Q: Find the volume of a parallelepiped

A:

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: The region bounded by the parabola x = y² and y = x2 revolved about the y-axis to generate a solid.…

A:

Q: 4. The diameter of a circle has endpoints: (2, -3) and (-6, 5). Can you find the coordinates of its…

A: We know that if the endpoint of diameter of circle are p(x1, y2) and q(x2, y2)  Then it's center's…

Q: 1- In space the point can be specified by position vector r wnich is given by: Arix+ jy s r-ix+…

A:

Q: In your Cartesian plane find and connect the following points: (3,0) (0,6) (-4,-3)

A:

Q: Find the distance of the line between (1,1)and (-5,-3)

A:

Q: Two vectors have magnitudes 2m and 3m. The angle between them is 60°. Find the magnitude of their…

A: Given, Magnitude of one of the vector = a → = 2 m Magnitude of the other vector = b → = 3 m Angle…

Q: Q1. (20’) Consider the shaded square region on the s-plane, as shown in Fig. Ql. Let p =-Cw, +…

A: Given…

Q: H.W: Find the Trigonometric functi

A: given:find the trigonometric functions sinx,cosx,tanxwhen x=(0,45)

Q: Given are 4 points in space: (x,y,z) A (3,2,3)   B (0,1,4)   C(2,4,1)   D(0,5,4) The line of…

A: GivenA (3,2,3)   B (0,1,4)   C(2,4,1)   D(0,5,4)F=40kNG=50kN

Q: Problem 1. Three circles are tangent externally. The distance between their centers are 60 m, 73 m,…

A:

Q: HomewoTK: 1. Find the line L passes through the point (1,2) and parallel the line L: X +2y = 3.

A:

Q: Magnitude of Vectors in 3D Let a =(2, -4, 6). Find a.

A: Given, Vector a → = < 2 , -4 , 6 >   From the vector, x-component of vector = ax = 2…

Q: Q2: Determine the magnitude and direction for the resultant for ONE of the showing systems below…

A:

Q: The dot product of the two vectors a and b is equal to: a.b.cose

A:

Q: 2. If a dot product of two non-zero vectors equals -1, then the vectors must be each other. a.…

A:

Q: N value (x,y,z): 10,14,17 In case you can't read the given values on the picture: B: (6,7,8) C:…

A:

Q: Which of the following systems is not equivalent to the rest? System 1 System 2 10 kN 10 kN 80 kN-m…

A: Only one question is allowed to solve.

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: Q2 Use the analytical method to find the resultant and its direction of the forces shown in figure…

A: Given

Q: If f (X)=X cube+x find f (1) +f(2)

A:

Q: Given the three vectors A = i, B = i- j, and C = k Find A.(BXC).

A:

Q: Draw the third projection 2-Draw the isometric projection

A: Given figure  To draw : The third angle projection  To draw : theisometric view

Center of Gravity and Centroid

The term center of gravity indicates the position or location of a point about which the whole weight of a body or system is supposed to be concentrated, which means the whole weight of the body or system works through this point. It is closely related to mass distribution. For all positions of the body, the center of gravity would be a single point.