Mathematics, 24.09.2020 16:01 pablohc200021
Consider the following sets of vectors. Determine whether the sets are subspaces of R 3. If a set is a not a subspace, explain why. If a set is a subspace, give a basis and its dimension.
A) S is the set of vectors of the form (a, 1, 3).
B) S is the set of vectors of the form (a, 0, 0).
C) S is the set of vectors of the form (2a, b, a 1)
D) S is the set of vectors of the form (2a, b 1, a).
E) S is the set of vectors of the form (a 2 , b2 , a2 b 2 ).
Answers: 1
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Use stokes' theorem to evaluate c f · dr where c is oriented counterclockwise as viewed from above. f(x, y, z) = xyi + 5zj + 7yk, c is the curve of intersection of the plane x + z = 8 and the cylinder x2 + y2 = 81.
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Consider the following sets of vectors. Determine whether the sets are subspaces of R 3. If a set is...
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