Find the center of mass of the three particles having masses of 1, 2, and 3 kg located at the points (-1,3), (2,1), and (3,-1), resp.

Q: nter the exact answer. Im z? dz

A: Given, the vertices of the triangle are 0, 2, 2i.

Q: calculate v × w.v = v = (1, 1, 0), w = (0, 1, 1)

A: Given v=<1,1,0> and w=<0,1,1> v×w=i→j→k→110011         =i→(1-0)-j→(1-0)+k→(1-0)…

Q: A particle of mass m is moving under the force of attraction of another particle of mass m1 at a…

A: When a force F is applied to an object of mass m, the position of body changes. According to…

Q: At a certain moment, a moving particle has velocity v = (2, 2, −1)and a = (0, 4, 3). Find T, N, and…

A: Given: At a certain moment, a moving particle has velocity v = (2, 2, −1) and a = (0, 4, 3)  Now we…

Q: 7. Find the centroid of a triangle whose vertices are (2, 3), (-4, 6) and (2, -6). В. (0, -1) A. (0,…

A:

Q: Eliminate the parameter: I=e+t,y= e-t

A:

Q: A particle is acted upon by constant forces 4i+j-3k and 3i+j-k and is displaced from the point…

A: Introduction: When a force is acting upon a particle and there is a displacement, the force works on…

Q: Consider the function f(z)= r+-- Use a 6-digit truncating arith- metic. (a) Find f(100). (b) Find…

A: *answer:

Q: Distinguish briefly the Skewness and kurtosis

A: Skewness is a measure of symmetry where symmetry means equal proportion to the left and right to the…

Q: Brazilian soccer star Marta has a penalty kick in the quarter-final match. She kicks the soccer ball…

A:

Q: Calculate the dot product of x = (3, -2, 0, 3) E R and y = (1, 2, 3, 4) ER4.

A: The dot product of two vectors x=(a1,a2,a3,a4)  and  y=(b1,b2,b3,b4)in 4th-dimensional space is: x.y…

Q: 4. Find the vector equation for a particle if A(t) = 6ti + 12t² j+ k, V(0) = 2i + 3j, and R(0) = 4k.

A: Given that At=6ti+12t2j+k,V0=2i+3j,r0=4k.

Q: Find a and b such that v = au + bw, where u = (1, 2) and w = (1, -1). v = (9, 3) a = b =

A: This question is based on vector form.

Q: Brazilian soccer star Marta has a penalty kick in the quarter-final match. She kicks the soccer ball…

A:

Q: 2. Solve for the centroid of the shaded region. -zolx-1)

A:

Q: Find the magnitude of u+o if ū = (2,3,-6) and v = t- 21- k. .

A:

Q: R) Find the area of a triangle formmed from the two - = c'+2j=k-- - 2i-jtuk. Vectors-a- 6 = 2i-j+4k,

A: Given: a=i^+2j^−k^b=2i^−j^+4k^