Let u 1 and u 2 be as in Exercise 19, and let It can be shown that u 4 is not in the subspace W spanned by u 1 and u 2 Use this fact to construct a nonzero vector v in R 3 that is orthogonal to u 1 and u 2 Data from in Exercises 19 Let Note that u 1 and u 2 are orthogonal but that u 3 is not orthog...

By the Orthogonal Decomposition Theorem u4 is the sum of a vector in W Spanuu and a vector v ort ...

Let u 1 and u 2 be as in Exercise 19, and let It can be shown

Question:

Let u₁ and u₂ be as in Exercise 19, and let

It can be shown that u₄ is not in the subspace W spanned by u₁ and u₂. Use this fact to construct a nonzero vector v in R³ that is orthogonal to u₁ and u₂.

Data from in Exercises 19

Let

Note that u₁ and u₂ are orthogonal but that u₃ is not orthogonal to u₁ or u₂. It can be shown that u₃ is not in the subspace W spanned by u₁ and u₂. Use this fact to construct a nonzero vector v in R³ that is orthogonal to u₁ and u₂.