Problem:(adsbygoogle = window.adsbygoogle || []).push({});

Let [tex]\vec{x}[/tex] and [tex]\vec{y}[/tex] be vectors inRand define^{n}

[tex]p = \frac{x^Ty}{y^Ty}y[/tex]

and

[tex]z = x - p[/tex]

(a) Show that [tex]\vec{p}\bot\vec{z}[/tex]. Thus [tex]\vec{p}[/tex] is thevector projectionof x onto y; that is [tex]\vec{x} = \vec{p} + \vec{z}[/tex], where [tex]\vec{p}[/tex] and [tex]\vec{z}[/tex] are orthogonal components of [tex]\vec{x}[/tex], and [tex]\vec{p}[/tex] is a scalar multiple of [tex]\vec{y}[/tex]

(b) If [tex]||\vec{p}|| = 6[/tex] and [tex]||\vec{z}|| = 8[/tex], determine the value of [tex]||\vec{x}||[/tex]

My problem:

I understand the question, but have no idea how to approach it. Hints?

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# Vector projection problem

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