**Problem:**Find the parametric equation of the line through **a** parallel to **b**, using **t** as the parameter.Given vectors:\[ \mathbf{a} = \begin{bmatrix} -2 \\ 1 \end{bmatrix}, \quad \mathbf{b} = \begin{bmatrix} -7 \\ 3 \end{bmatrix} \]The parametric equation of the line is expressed as:\[ \mathbf{x} = \begin{bmatrix} -2 \\ 1 \end{bmatrix} + t \begin{bmatrix} -7 \\ 3 \end{bmatrix} \](Note: Type an integer or a simplified fraction for each matrix element.)

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Answered: Find the parametric equation of the…

Find the parametric equation of the line through a parallel to b, using t as the parameter. 2 b = -7 a = 3 +t (Type an integer or a simplified fraction for each matrix element.)

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

**Problem:**

Find the parametric equation of the line through **a** parallel to **b**, using **t** as the parameter.

Given vectors:
\[ \mathbf{a} = \begin{bmatrix} -2 \\ 1 \end{bmatrix}, \quad \mathbf{b} = \begin{bmatrix} -7 \\ 3 \end{bmatrix} \]

The parametric equation of the line is expressed as:
\[ \mathbf{x} = \begin{bmatrix} -2 \\ 1 \end{bmatrix} + t \begin{bmatrix} -7 \\ 3 \end{bmatrix} \]

(Note: Type an integer or a simplified fraction for each matrix element.)

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