Point where the line through two points crosses a coordinate plane

1. A.
   $\left(\frac{13}{5},\frac{23}{5},0\right)$
2. B.
   $\left(-\frac{13}{5},\frac{23}{5},0\right)$
3. C.
   $\left(\frac{13}{5},-\frac{23}{5},0\right)$
4. D.
   $\left(-\frac{13}{5},-\frac{23}{5},0\right)$

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1. A.
   $\left(\frac{11}{3},0,\frac{21}{3}\right)$
2. B.
   $\left(\frac{17}{3},0,\frac{23}{3}\right)$
3. C.
   $\left(-\frac{11}{3},0,\frac{21}{3}\right)$
4. D.
   $\left(\frac{17}{3},0,-\frac{23}{3}\right)$

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1. A.
   10
2. B.
   12
3. C.
   22
4. D.
   24

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1. A.
   $\lbrack\overline{r} - (\widehat{i} - 2\widehat{j} + 0\widehat{k})\rbrack \times \left( - \widehat{i} + \frac{1}{2}\widehat{j} - \frac{1}{2}\widehat{k} \right) = \overline{0}$
2. B.
   $\lbrack\overline{r} + (\widehat{i} - 2\widehat{j} + 0\widehat{k})\rbrack \times \left( - \widehat{i} + \frac{1}{2}\widehat{j} + \frac{1}{2}\widehat{k} \right) = \overline{0}$
3. C.
   $\overline{r} = ( - \widehat{i} - 2\widehat{j} + 0\widehat{k}) + \lambda\left( - \widehat{i} + \frac{1}{2}\widehat{j} - \frac{1}{2}\widehat{k} \right)$
4. D.
   $\overline{r} = (\widehat{i} + 2\widehat{j}) + \lambda\left( - \widehat{i} + \frac{1}{2}\widehat{j} - \frac{1}{2}\widehat{k} \right)$

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1. A.
   $\left(0, \dfrac{-13}{5}, \dfrac{2}{5}\right)$
2. B.
   $\left(0, \dfrac{13}{5}, \dfrac{2}{5}\right)$
3. C.
   $\left(0, \dfrac{13}{5}, 2\right)$
4. D.
   $\left(0, \dfrac{-13}{5}, -2\right)$

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1. A.
   $2\sqrt{2}$
2. B.
   $2\sqrt{3}$
3. C.
   $3\sqrt{2}$
4. D.
   $3\sqrt{3}$

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