In differential geometry give me example of covariant tensor and contra variant tensor.

Q: 7. What is the cross product (Ax B) of the given vectors below? A = -4i + 7j B = 3i

A: Answer of mathematics: Given: log3x2=log3(7x-10) Since base of log are same therefore: x2=7x-10…

Q: Find the directional derivative of f (x, y, z) = 2z²x + y³ at the point (2, 1, 1) in the direction…

A:

Q: Find the vector form form of the complete solution of the linear septem Ax=b. ا ہے X₁-3x₂= 1…

A: Let Ax=b be a system of linear equations,  then If rank(A)≠Rank (A|b) , then system is inconsistent…

Q: Find the directional derivative of the function f(x, y) = xy at the point (x, y) = (-4,-6) in the…

A:

Q: af y = x ?x af ду

A:

Q: How many Potenhally defferent tensors of ander two can be defined by faking the ouer Product of sö…

A: The outer product of two tensors results a tensor with the order that equals the sum of the co…

Q: If A is second order tensor , then |A| =T^i

A:

Q: 51 s Two forces F₁ and F₂ are applied as shown in the figure. The resultant R has a magnitude of…

A:

Q: Tensor Auv is type (2 0) and tensor Wv is type (0 1). prove that AuvWv is a tensor of type (1 0)…

A: It is given that, Auv be tensor of type 2,0. Wv be tensor of type 0,1. it is known to us that if A…

Q: Evaluate the integral. (Give your answer using component form or standard basis vectors. Express…

A:

Q: Vector Calculus Given, A = a zi – 23² ²j+ æy} sÎn¢ divAat the point (1, –1, 1) -

A: Here, the given vector field is: A=x2zi-2y3z2j+xy2zk

Q: How do you find the stable vector? P=  1/4 3/4         4/7 3/7   ---I understand how to create…

A: Given Matrix , P=14344737 We need to find a stable vector X ,which satisfies PX=X and X =AB…

Q: '. Consider the lines L1 and L2 in R3 given by the vector equations L1 :0 = (2,4, 4) + t(4, 1,5) and…

A:

Q: For each problem, calculate the directional derivative in the given direction and the gradient…

A: z=x2-6y2  To Find: Directional derivative and gradient vector at P(7,2) in the direction of  a)…

Q: Which vector is collinear with [2, -3]? [2, -6] O [-4, 6] O(-2, -3] O [12, 18]

A: We have to find the vector

Q: QI/ Consider the following equation xu-yuy-2yu, =0: x0, y 0 I) Determine the type of the equation.…

A:

Q: Given the vector-valued functions u(t)= esti+e-¹ + 2tk v(t) = 2ti - 3t² + 3k d find (u(t) v(t)) when…

A:

Q: Let h(x, y) = x² + 3xy - 6y. In what direction does h increase most rapidly at the point (3, 2)? (a)…

A:

Q: Truo or Fase ? If A is second order tensor ,then

A: The objective is to state whether the statement is true or false. If A is second order tensor, then…

Q: Given the vectors ü = -i - 2j + 3k and i = - 2i + 6j – 3k. _17. The unit vector in he direction of v…

A: A unit vector perpendicular to a vector a→ is represented as follows: a^=a→a→

Q: Find two linearly independent vectors perpendicular to the vector -- = ? 5 5

A:

Q: True or False? O True O False The equation A = bis homogeneous if the zero vector is a solution.

A: Given the statement, the equation Ax→=b→ is homogenous if the zero vector is solution. To determine…

Q: Find the vector equation of the tangent line to F(t) = 2 (el-t) In t i+ tan-tj+ k at cos(t m) the…

A: Answer is mentioned below

Q: Find a vector of norm 5 in the direction of the vector from the point (1, −2, 1) to the point (2,…

A:

Q: Every second order tensor can be uniquely decomposed into a symmetric and skew- symmetric part.

A: Thanks for the question :)And your upvote will be really appreciable ;)

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.