Direction of the line of intersection of two planes

1. A.
   $\frac{x-1}{-3} = \frac{y-2}{5} = \frac{z-3}{4}$
2. B.
   $\frac{x-1}{3} = \frac{y-2}{1} = \frac{z-3}{1}$
3. C.
   $\frac{x-1}{1} = \frac{y-2}{-1} = \frac{z-3}{1}$
4. D.
   $\frac{x-1}{-3} = \frac{y-2}{-5} = \frac{z-3}{4}$

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

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

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1. A.
   $\frac{x-1}{-3}=\frac{y-2}{5}=\frac{z-3}{4}$
2. B.
   $\frac{x-1}{-3}=\frac{y-2}{-5}=\frac{z-3}{4}$
3. C.
   $\frac{x-1}{4}=\frac{y-2}{5}=\frac{z-3}{3}$
4. D.
   $\frac{x-1}{5}=\frac{y-2}{7}=\frac{z-3}{1}$

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1. A.
   $-2\hat{i}+7\hat{j}+13\hat{k}$
2. B.
   $2\hat{i}-7\hat{j}+13\hat{k}$
3. C.
   $-\hat{i}-4\hat{j}+7\hat{k}$
4. D.
   $\hat{i}-4\hat{j}+7\hat{k}$

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1. A.
   $\frac{- 3}{5\sqrt{2}},\frac{5}{5\sqrt{2}},\frac{4}{5\sqrt{2}}$
2. B.
   $\ \frac{3}{5\sqrt{2}},\frac{- 5}{5\sqrt{2}},\frac{4}{5\sqrt{2}}$
3. C.
   $\ \frac{3}{5\sqrt{2}},\frac{5}{5\sqrt{2}},\frac{4}{5\sqrt{2}}$
4. D.
   $\frac{3}{5\sqrt{2}},\frac{5}{5\sqrt{2}},\frac{- 4}{5\sqrt{2}}$

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1. A.
   $2\widehat{i} + 7\widehat{j} + 13\widehat{k}$
2. B.
   $- 2\widehat{i} - 7\widehat{j} + 13\widehat{k}$
3. C.
   $- 2\widehat{i} - 7\widehat{j} - 13\widehat{k}$
4. D.
   $- 2\widehat{i} + 7\widehat{j} + 13\widehat{k}$

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

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