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(- 1, 3, 5) (2, -4, 6) (0, 1, - 2) Let u rightarrow = - 2, 1, -3 and v rightarro

ID: 3088278 • Letter: #

Question

(- 1, 3, 5) (2, -4, 6) (0, 1, - 2) Let u rightarrow = - 2, 1, -3 and v rightarrow = 2, - 4, 6) Find the vector projection of u rightarrow onto v rightarrow Find an equation of the line that is parallel to the vector found in a) Let u rightarrow = - 2, 1, -3 and v rightarrow = 2, - 4, 6 Find another vector orthogonal to both u rightarrow and v rightarrow. Show that this vector is or to at least one of u rightarrow or v rightarrow. Find the equation of the plane containing both u rightarrow and v rightarrow. Determine if the following sets with the given definitions of addition and multiplication are vector spaces. (Use Theorem(s) - do NOT check all 10 axio W= {a M 22 det (a) = 0} a + B and ka the usual addition and scalar mult M 22 P= {p(x) P 2, the set of all polynomials of degree

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