Point of intersection of two lines

1. A.
   $(2,-4,-7)$
2. B.
   $(2,-4,7)$
3. C.
   $(-2,4,7)$
4. D.
   $(2,4,7)$

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1. A.
   Intersect each other and point of intersection is (2,1,3)
2. B.
   Intersect each other and point of intersection is (3,2,4)
3. C.
   Intersect each other and point of intersection is (-2,3,3)
4. D.
   Do not intersect.

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

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1. A.
   $\overline{r} = ( - \widehat{i} - \widehat{j} - \widehat{k}) + \lambda(\widehat{i} + 2\widehat{j} + \widehat{k})$
2. B.
   $\overline{r} = ( - \widehat{i} - \widehat{j} + \widehat{k}) + \lambda(2\widehat{i} + 2\widehat{j} + \widehat{k})$
3. C.
   $\frac{x + 1}{3} = \frac{y + 1}{2} = \frac{z + 1}{- 1}$
4. D.
   $\frac{x - 1}{3} = \frac{y - 1}{2} = \frac{z + 1}{1}$

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1. A.
   $(0, 0, 0)$
2. B.
   $(1, 2, 6)$
3. C.
   $(3, -1, 0)$
4. D.
   $(6, 2, 1)$

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1. A.
   $(2, 3, 2)$
2. B.
   $(-2, 3, -2)$
3. C.
   $(-2, -3, 2)$
4. D.
   $(2, 3, -2)$

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1. A.
   $\bar{r} = (2\hat{i} + 3\hat{j} - 2\hat{k}) + \lambda(\hat{i} - 2\hat{j} + \hat{k})$
2. B.
   $\bar{r} = (2\hat{i} - 3\hat{j} + 2\hat{k}) + \lambda(\hat{i} - 2\hat{j} + \hat{k})$
3. C.
   $\bar{r} = (2\hat{i} - 3\hat{j} - 2\hat{k}) + \lambda(\hat{i} - 2\hat{j} + \hat{k})$
4. D.
   $\bar{r} = (2\hat{i} + 3\hat{j} + 2\hat{k}) + \lambda(\hat{i} - 2\hat{j} + \hat{k})$

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