Let $\vec{u} = \langle 6, 5 \rangle$ and $\vec{v} = \langle 7, 6 \rangle$.Now, $\vec{w} = \langle 59, 50 \rangle$ is a linear combination of $\vec{u}$ and $\vec{v}$.That is, $\vec{w} = a_1 \vec{u} + a_2 \vec{v}$. Determine $a_1$ and $a_2$.\[a_1 = \text{\_\_\_\_}\]\[a_2 = \text{\_\_\_\_}\]

Answered: Let u = < 6, 5 > and v = < 7, 6 > .…

Let u = < 6, 5 > and v = < 7, 6 > . Now, w = < 59, 50 > is a linear combination of i and v. That is, w = aju + azv. Determine aį and aɔ. a2=

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

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Let $\vec{u} = \langle 6, 5 \rangle$ and $\vec{v} = \langle 7, 6 \rangle$.

Now, $\vec{w} = \langle 59, 50 \rangle$ is a linear combination of $\vec{u}$ and $\vec{v}$.

That is, $\vec{w} = a_1 \vec{u} + a_2 \vec{v}$. Determine $a_1$ and $a_2$.

\[a_1 = \text{\_\_\_\_}\]

\[a_2 = \text{\_\_\_\_}\]

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