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Compute the quantities in Exercises $1-8$ using the vectors$$\mathbf{u}=\left[\begin{array}{r}{-1} \\ {2}\end{array}\right], \quad \mathbf{v}=\left[\begin{array}{l}{4} \\ {6}\end{array}\right], \quad \mathbf{w}=\left[\begin{array}{r}{3} \\ {-1} \\ {-5}\end{array}\right], \quad \mathbf{x}=\left[\begin{array}{r}{6} \\ {-2} \\ {3}\end{array}\right]$$$\|\mathbf{x}\|$

7

Calculus 3

Chapter 6

Orthogonality and Least Square

Section 1

Inner Product, Length, and Orthogonality

Vectors

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In mathematics, a vector (…

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Compute the quantities in …

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In Exercises 15-24, use th…

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So we're giving the Vector X and we want to compute the norm of X. So if you remember, the definition of a norm is the square root of the dot product of the vector with itself. So first we want to take x dot exe and square rooted. So we have the square root of six squared, which is 36 plus negative two squared, which is four plus three squared, which is nine. So if we add these things up, 36 plus 13 gives us square root of 49 which is seven.

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