ind the angle between the following surfaces at the point (−2, 1, 1):x2 + y2 + z2 = 6 and x2 + y2 − 2z = 3.

Question

ind the angle between the following surfaces at the point (−2, 1, 1):x2 + y2 + z2 = 6 and x2 + y2 − 2z = 3.
🧐 Not the exact question you are looking for?Go ask a question

Solution 1

Sure, here is the step by step solution:

Step 1: Find the normal vectors of the surfaces at the given point.

The normal vector of a surface F(x, y, z) = 0 at a point (x0, y0, z0) is given by the gradient ∇F at that point.

For the first surface, F1(x, y, z) = x^2 + y^2 + z^2 - 6, the gradient ∇F1 Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

This problem has been solved

Similar Questions

ind the angle between the following surfaces at the point (−2, 1, 1):x2 + y2 + z2 = 6 and x2 + y2 − 2z = 3.

Show that the ellipsoid 3x2 +2y2 +z2 = 9 and the sphere x2 +y2 +z2 −8x−6y −8z +24 = 0are tangent to each other at the point (1, 1, 2)

The unit normal vector to the surface X2 + Y2 + Z2 - 48 = 0 at the point (4, 4, 4) is

Find the volume of the given solid.Bounded by the cylinders x2 + y2 = 16r2, y2 + z2 = 16r2

If x2 + y2 + z2 = 9, dxdt = 4, and dydt = 8, find dzdt when (x, y, z) = (2, 2, 1).

1/3