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1. Given an ellipsoid with equation (x−5)^2 /16 +(y−10)^2/ 9+(z−6)^2/ 16= 1 and the plane with...

1. Given an ellipsoid with equation
(x−5)^2 /16 +(y−10)^2/ 9+(z−6)^2/ 16= 1 and the plane with equation y = 19 find an equation for the curve of intersection of the two given surfaces

2.Given vectors a and b, express the vector projection of b onto a, indicated by p=PROJaB. Now use the decomposition b = projab + orthab to solve for orthab, which is the vector component of b which is orthogonal to a.

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