16. Determine how far the center of mass of the Earth-moon system Compare this distance to the radius of Earth, and comment on the re in the solar system. (m, = 5.94×10²*kg; m = 7.36×10®kg; distanc 3.82×10°m; R. = 6.37×10ʻm). 17. Figure shows a simple model of a water molecule. The oxygen hydre separation is d = 8×10" m. Each hydrogen atom has mass 1.0 u, and oxygen atom has mass 16.0 u. Find the position of the center of mas

Q: Find the y-component a force, 120N, acting 45 degrees to the right of the negative y-axis.

A: Given data:  Force (F) = 120 N Angle (θ) = 45° to the right the negative y-axis Required: The…

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

A:

Q: Convert Unit vector from point A(4, 60°, −1) to B(2, −30°, 3) into Cartesian coordinates.

A: The given co-ordinates are cylindrical co-ordinates. This has to converted to cartesian co-ordinate…

Q: two vectors A and B have magnitudes A=2 and B= 5. if the angle between them is 40 degree find the…

A: The magnitude of the cross product is given by  A→×B→ = A B sinθ where, θ is the angle between two…

Q: Dot Product, polar coordinates: If A = 8 < 21 degrees and B = 5 < 62 degrees, find А-В

A: We will first convert the polar coordinates into the cartesian coordinates. Using these coordinates…

Q: F = 5 units, SW N. Draw the following vectors from the origin of a single x-y plane. A = 4 units,…

A: A vector can be drawn by arrows by taking length of arrow as magnitude and direction by angle.

Q: Find a vector n that is orthogonal to each of the vectors v = (2,0, –1) and w = (1,2, 1). Select…

A: (d) n= (2, -3, 4)

Q: 3. Find the y-component a force, 120ON negative y-axis. 4. Find the x-component a force, 150N,…

A:

Q: Given two vectors A and B. Find the angle between them if A = {2, -3, 4} and B = { -1,2, -2}. be…

A:

Q: Given Å=2+29+32 B-68+89+92 Find the vector product Ax

A: Given: The two vectors are given as A→=x^+2y^+3z^B→=6x^+8y^+9z^

Q: If A = 34 m, B = 34 m, and the magnitude of A + B = 48, which of the following is true? O A and B…

A:

Q: Consider the following 2 vectors: A =3.42 î–6.44ĵ B =2.33 î+4.26} What is the magnitude of Á × B.

A:

Q: Given the vectors A = -5i - 3j - 8k ; B = 4i - 2j + 3k ; C = 10i -12j - 8k a. Find A x B b.…

A:

Q: Add the following two vectors if Keep a few digits. A= 15 a= 20 degrees B=11N b= 40 degrees B. C= at…

A:

Q: Find the Vector projection of A= and B=

A: Given, Vectors, A = 2, 1, 5, B= 5, -2, 7 The vector projection of vector A→ on vector B→ is…

Q: a. The vector from the origin to point A is given as (6,–2,–4), and the unit vector directed from…

A: This is a concept of vector. Below is the answer.

Q: M Y Z N

A:

Q: (In questions and answers, the letters i, j and k represent the unit vectors along the directions x,…

A:

Q: at the origin.

A:

Q: For the vectors a = and b = find orthab.

A: Vectors are given as and Note:Find:Orthogonal projection of  on , that is,

Q: The figure shows four vectors A, B, C and D having magnitudes 12.0 m, 10.0 m, 8.0 m, and 4.0 m,…

A:

Q: describe how finding the magnitude of a two-dimensional vector is different than finding the…

A: Solution: The two dimensional vector in terms of cartesian unit vector in x-y plane is given as r→=x…

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

A:

Q: Find the angle between the vectors. (First find an exact expression and then approximate to the…

A: a=(1,-4,1) b=(0,5,-5)

Q: Let vector A  point from the origin into the second quadrant of the xy plane and vector B point from…

A: When subtracting vectors, the rule is to graph the first two from the origin and then connect them…

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: 1. Find the magnitude of B, if B = {-1,2, -2}. obuoon them

A:

Q: given the vector v=i+2j+k what is the angle between v and the xaxis

A: v→ = i^ + 2j^ + k^ Magnitude of vector v = (1)2 + (2)2 + (1)2= 1+4+1= 2.45

Q: Vector A = (8, 4, -5) and Vector B = (-2, 3, 0). Find the angle between these two vectors.

A: Vector A=(8, 4, -5)Vector B= (-2, 3, 0)

Q: For the vectors A = 2? •38, B= 39- 5 2, and find: %3D - (a) V = A B+C (b) V (C) V

A:

Q: Find the angle between the vectors a = 2i + 3j + 5k and b=i-2j + 3k.

A:

Q: Find the area of the triangle determined by the points P, Q, and R. Find a unit vector perpendicular…

A:

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: Find the area of the triangle determined by the points P, Q, and R. Find a unit vector perpendicular…

A: Solution:-Given thatPoints-P:(-1, 1, -2)⇒OP→=(-i^+j^-2k^ )Q:(-2, 0, 1)⇒OQ→=(-2i^+k^ )R:(0, -2,…

Q: Q(2) Consider the two vectors A= 31 – 2j and B = 2i – 3j. Calculate the angle between the two…

A: Given the two vectors  A= 3i - 2j and B = 2i - 3j. We have to find out the angle between the two…

Q: Find the vector product C of coplanar of these vectors. (5i+4j)x(2i+5j-3k)

A: The vectors are given as :

Q: Consider two vectors A and B. A = 11 + 133 and B = 14 - 16 Find the unit vector that points in the…

A:

Q: Show that V = yz î+xzŷ+xy ê can be written as the curl of a vector v. Determine i for which V.i = 0.

A: Given: The vector field is given as V = yz i^ + xzy^ + xyz^