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Exercises $3-8$ refer to $\mathbb{P}_{2}$ with the inner product given by evaluation at $-1,0,$ and $1 .$ (See Example $2 . )$Compute $\|p\|$ and $\|q\|,$ for $p$ and $q$ in Exercise 4

$\sqrt{59}$

Calculus 3

Chapter 6

Orthogonality and Least Square

Section 7

Inner Product Spaces

Vectors

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Let $\mathbb{P}_{3}$ have …

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let me dinner with X. Why the vectors containing the permits? P and cute computer T minus 10 and one. So x is the vector minus 40 in two. And why is the Vector 535 now? The length off being with respect to this particular in a product is given by the root office in their product be against me. And by definition of the inner product report for Polly Normals, this is X Durex. What X is a vector we've completed previously? Now this is the route off. Well, four square plus two square. So that's 20 out of 20. Similarly, the length off cue is the root off que against you, which is, by definition again off the product between Polly Normals route off. Why that wine were wise. The victor we have to find up there and again. This is route off 59

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