7.60 In Problem 7.59, what is the vector component of F parallel T to the surface?

Q: : Let x and y be non-parallel vectors. Prove that (x + y) and (x - y) are vectors perpendicular to…

A: For two vectors A→ and B→, the angle between them is θ. The dot product of these vectors…

Q: Prove that the magnitude of the vector

A: To prove: magnitude of a vector M→(x,y)=M

Q: What is the difference between the scalar product and the cross product of two vectors? While the…

A: To determine: The difference between the scalar and the vector products of the two vectors. The…

Q: Consider the vectors A = (-5.4, 8.8) and B = (8.7, -9.4), such that A - B + 3.8C = 0   What is the x…

A: Let the coordinates for point C be (x, y).For the given coordinates of A and B, vector…

Q: Find the Miller Indices of a plane whose intercepts are (2,1,3).

A: Given intercepts are (p,q,r)= (2,1,3) The Miller indices of a plane is    h,k,l=1p,1q,1r…

Q: If A=3i+7k and B= -1+2j+k. What is the angle between vectors A and B ?

A: The dot product of the two vectors can be calculated as,

Q: Destion If A = - 3.5 i-9.7j and B-- 6.0i+ 8.1 j, what is the angle (less than 180 degrees) between…

A:

Q: prove that n = VE,

A: given data :-

Q: Prove that I de xR

A:

Q: Two vectors in Cartesian coordinates have components A= (2,2,3) and B=(-4,-1,7). What is the dot…

A: given  A=2,2,3  B=-4,-1,7  Dot product of vector  A with vector B=?

Q: Go back to question 6 but this time assume uk=0.2.  a) How much time elapses before the block…

A: This question belongs to friction.

Q: prove e that 2. 1.

A: The distributive property is used here.

Q: the vector product the vectors, Vhich one the following is correc ixj=0 ; ixk 1; kxj=0 ixi=0 ; kx k…

A: The cross product, area product, or the vector product of two vectors is a binary operation on two…

Q: Given a vector (77, 48, 22) and another vector (4, 49, 67) what is the z-component of their sum?

A: Given that Vector 1 (A)= (77, 48, 22)  And , vector 2 (B)= (4, 49, 67) Let i, j and k be the unit…

Q: Find the following vector product B x B.

A: From the given diagram: The x-component (horizontal component) of B→ is       Bx = Bcos53o =…

Q: Th unit vector from the origin {i.e. the point (0,0)} to the point B (3,4) is:

A:

Q: - prove that B.

A: Given, two vector A and B Let angle between a and B is θ

Q: Show that if a matrix is orthogonal and its determinant is +1, then each element of the matrix is…

A: Let A is an orthogonal matrix with determinant equal to+1. Orthogonal matrix, AAT=1…

Q: Prove that

A: To prove: It is known that:

Q: Find the following vector product A´x (F +2C ).

A:

Q: Consider a vector field of A = (2x-z) i + xyj - x ²k taken over the region (a cube) bounded be x =…

A: Vectors are physical quantities that have both magnitude and direction. Scalars on the other hand…

Q: Which of the following is the conserved quantity if the system having Lagrangian - m. (а) Р, (b) Р,…

A:

Q: Two vectors Á and B have precisely equal mag- nitudes. For the magnitude of A + B to be 100 times…

A:

Q: Get the expression for the divergent of a vector field in spherical coordinates.

A: Given : Divergence :                           Divergence of a vector field is a measure of the “…

Q: vector algebra dot product of (i+j+k) and (i-j+k) is?

A: Given : Vector 1 →V1→=i^+j^+k^ Vector 2 →V2→=i^-j^+k^

Q: Find the measures of the angles between the diagonals of the rectangle whose vertices are A = (5,…

A: Vertices of rectangle: A(5,6), B(8,12), C(-40,36), D(-43,30)  When we'll plot these vertices on…

Q: Show that a set of vectors V (not containing the 0 vector)is linearly dependent if and only if there…

A: Let’s consider the following sets of vectors,

Q: Find the following vector product A x ×F.

A:

Q: Find the following vector product î x B.

A:

Q: Find D in cartesian coordinates) at P(6,8,-10) caused by a uniforms surfacecharge density p,…

A:

Q: Given that vector u has length 3, vector v has length 5, and the dot product of u and v is -1, what…

A: Given:- length of u=3,            length of v=5   the dot product of u and v  = -1  now…

Q: Can two vectors, of unequal magnitude, add up to give the zerovector? Can three unequal vectors?…

A: If two vectors have equal magnitude but different directions then only their sum will be zero.

Q: prove that F(x, y, z) = (3x² + .

A: Solution:

Q: Which of the following is the conserved quantity if the system having Lagrangian 1 (а) Р. (b) Р, (c)…

A: Lagrangian of a system is a function of generalised coordinate, first derivative of this generalised…

Q: Find the following vector product A x (F+2C ).

A: We can find the cross product of two vectors using the determinant of the matrix as given below. A =…

Q: or a one dimensional system, x is the position operator and p the momentum operator in the x…

A:

Q: Under what circumstances would a nonzero vector lying in the xxyy plane ever have components that…

A: At 45degree angle a nonzero vector lying in the xxyy plane ever have compo

Q: Prove the property of the cross product u × v = 0 if and only if u and v are scalar multiples of…

A: The cross product property of vectors is given by:u×v=uvsinθ......(1)where,u and v are the magnitude…

Q: Given a vector (54, 46, 48) and another vector (18, 37, 7) what is the z-component of their sum?

A: Given - Cordinateof vector A =  (54, 46, 48) Cordinateof vector B=  (18, 37, 7)Now vector -A→ = (…