### Vector Magnitude CalculationsGiven the vectors:\[ \mathbf{u} = \left\langle 1, \frac{1}{2} \right\rangle \]\[ \mathbf{v} = \left\langle 5, 8 \right\rangle \]Find the following:#### (a) Magnitude of \(\mathbf{u}\)\[ \|\mathbf{u}\| \]\[ \underline{\hspace{8cm}} \]#### (b) Magnitude of \(\mathbf{v}\)\[ \|\mathbf{v}\| \]\[ \underline{\hspace{8cm}} \]#### (c) Magnitude of the sum of \(\mathbf{u}\) and \(\mathbf{v}\)\[ \|\mathbf{u} + \mathbf{v}\| \]\[ \underline{\hspace{8cm}} \]#### (d) Magnitude of \(\mathbf{u}\) over the magnitude of \(\mathbf{u}\)\[ \left\| \frac{\mathbf{u}}{\|\mathbf{u}\|} \right\| \]\[ \underline{\hspace{8cm}} \]#### (e) Magnitude of \(\mathbf{v}\) over the magnitude of \(\mathbf{v}\)\[ \left\| \frac{\mathbf{v}}{\|\mathbf{v}\|} \right\| \]\[ \underline{\hspace{8cm}} \]#### (f) Magnitude of the sum of \(\mathbf{u}\) and \(\mathbf{v}\) over the magnitude of the sum of \(\mathbf{u}\) and \(\mathbf{v}\)\[ \left\| \frac{\mathbf{u} + \mathbf{v}}{\|\mathbf{u} + \mathbf{v}\|} \right\| \]\[ \underline{\hspace{8cm}} \]

in given problem we have to find out the magnitude of the vector and as well as of it's arithmetic…

Answered: Find the following. u = (1, = (5, 8)…

Find the following. u = (1, = (5, 8) (a) ||u|| (b) ||v||

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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