Let v₁,..., Vk be vectors, and suppose that a point mass of m₁, ..., mk is located at the tip of each vector. The center of mass for this set of point masses is equal to V=Mv++mkvk m where m = m₁ + + mk. Determine how to divide a total mass of 11 kg among the vectors u₁ = (-1, 3), u2 = (3, -2), and u3 = (5, 2) so that the center of mass is (33/11, 4/11). m₁ = 4 m2 = 5 m3 = 2 eBook X

Q: Graph and find the area of the parallelogram formed by the vectors u = and v = .

A:

Q: Find a unit vector perpen dicular to the plane of the vectors a = (2, -3,1) and b = (1, 2, -4)

A:

Q: Compute the resultant of the position vectors for the points (2,4,3) and (1,-5,2) of a rectangular…

A: Question- Compute the resultant of the position vectors for the points (2,4,3) and (1,-5,2) of a…

Q: Consider the parallelepiped determined by the vectors A = (3, 1, 0), B = (1, 3, 0) and C= (1, 1, 1).…

A: Consider the parallelepiped determined by the vectors   a=⟨3,1,0⟩, b=⟨1,3,0⟩ and c=⟨1,1,1⟩ The…

Q: Find the cross products of vectors: u=(0,-4,2) and v=(-3,2,6). Find the area of the parallelogram…

A:

Q: Determine the value of m and n so that the vector ?⃗ = (2, 4, 6) is perpendicular to both the…

A: To find: The value of m and n. Given: The vector 2,4,6 is perpendicular to m,n,10 and 6,m,n. Concept…

Q: use the vectors u = , v = , and w = a) Find which pair(s) of vectors from that set is/are…

A: We have to check

Q: Find a non-zero vector & perpendicular to the vectors v = x = ► 3 H and u = 4

A:

Q: Compute the distance between the vectors u = and

A: Given vectors are u=42−16 and v=4315. We have to find the distance between the vectors u→ and v→.…

Q: 5) Find a vector in component form that is orthogonal to the vectors a = (9,3,-7) and b = (10,-8,2)

A:

Q: mine the angle between vectors M = (1

A: Here we vector M=1,2,5 and vector T=-2,-3,3

Q: Find the unit vector Â, B, the dot product À. B, and state whether these 2 vectors are orthogonal,…

A: Given vectors are- A→=3,-2 and B→=2,4 To find the unit vector A^, B^ and dot product A.B Unit vector…

Q: Find two different combinations of the three vectors u = (1,3) and v = (2,7) and w = (1,5) that…

A:

Q: The volume of the parallel pipe formed by three vectors A, B, and C is 50 cubic units. if A(-2,6,3),…

A:

Q: What does (a b c)=0 imply with respect to the vectors: a,b,c

A: Consider the given information. The given vectors are a, b and c. Geometrically, the scalar triple…