Freeflows

Line Parameterizations Validity

A line passes through the distinct vectors $ \mathbf{a} $ and $ \mathbf{b} $. Which of the following are valid parameterizations of the line? (A) $ \mathbf{a} + t (\mathbf{a} - \mathbf{b}) $ (B) $ \frac{3}{4} \mathbf{a} + t \cdot \frac{\mathbf{b}}{4} $ (C) $ \frac{\mathbf{a} + \mathbf{b}}{2} + t \cdot \frac{\mathbf{b} - \mathbf{a}}{2} $ (D) $ \mathbf{a} + 2 \mathbf{b} + t (2 \mathbf{b} - 3 \mathbf{a}) $ (E) $ -\mathbf{b} + t (\mathbf{a} + \mathbf{b}) $ (F) $ \mathbf{b} + \frac{t}{3} (2 \mathbf{a} - 2 \mathbf{b}) $ Enter the letters of the correct options, separated by commas.

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-
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$\frac{a}{b}$
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0
=
%

$a^n$
$a^{\circ}$
$a_n$
$\sqrt{}$
$\sqrt[n]{}$
$\pi$
$\ln{}$
$\log$
$\theta$
$\sin{}$
$\cos{}$
$\tan{}$

$($
$)$
$[$
$]$
$\cap$
$\cup$
$,$
$\infty$

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