Show that on the saddle surface z= xy the two vector fields (Vī+x² ± i+ y°, yvī+x² ±xvI+y°) are principal at each point. Check that they are orthogonal and tangent to M.

Q: Find a non-zero vector 7 perpendicular to the vector u 12 [3]. -6

A:

Q: Find a vector function that represents the curve of intersection of the paraboloid z = 5x² + 2y² and…

A: The paraboloid z=5x2+2y2 and the cylinder y=3x2. We have to find a vector function that represents…

Q: Find a vector function r(t) that describes the curve of intersection be- tween the elliptical…

A: Given To find a vector function r(t) that describes the curve of intersection between the elliptical…

Q: 3. Find a vector function that represents the curve of intersection of the paraboloid z =. and the…

A: To find the vector function that represents the curve of intersection of the paraboloid z=x2+y2, and…

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A: To find  is the unit vector parallel to .

Q: Find the positive value for which the vector r(t) = (3t, 10t², 7t² – 2) is perpendicular to r'(t).

A:

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A: Introduction:   The gradient of the temperature function at the point is the direction of the…