Unit vector or direction cosines perpendicular to two given lines

1. A.
   $\frac{-5\hat{i}+7\hat{j}+2\hat{k}}{\sqrt{78}}$
2. B.
   $\frac{5\hat{i}-7\hat{j}+\hat{k}}{5\sqrt{3}}$
3. C.
   $\frac{5\hat{i}-7\hat{j}-\hat{k}}{5\sqrt{3}}$
4. D.
   $\frac{5\hat{i}+7\hat{j}-\hat{k}}{5\sqrt{3}}$

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1. A.
   $\frac{-\hat{i}+7\hat{j}+7\hat{k}}{\sqrt{99}}$
2. B.
   $\frac{-\hat{i}-7\hat{j}+5\hat{k}}{\sqrt{75}}$
3. C.
   $\frac{-\hat{i}+7\hat{j}+5\hat{k}}{\sqrt{75}}$
4. D.
   $\frac{7\hat{i}-7\hat{j}-7\hat{k}}{\sqrt{99}}$

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1. A.
   $\frac{-\hat{i}-3\hat{j}+\hat{k}}{\sqrt{11}}$
2. B.
   $\frac{\hat{i}-3\hat{j}+\hat{k}}{\sqrt{11}}$
3. C.
   $\frac{\hat{i}+3\hat{j}-\hat{k}}{\sqrt{11}}$
4. D.
   $\frac{\hat{i}+3\hat{j}+\hat{k}}{\sqrt{11}}$

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1. A.
   $\frac{-\hat{i}+7\hat{j}+5\hat{k}}{5\sqrt{3}}$
2. B.
   $\frac{-\hat{i}-7\hat{j}+5\hat{k}}{5\sqrt{3}}$
3. C.
   $\frac{\hat{i}-7\hat{j}+5\hat{k}}{5\sqrt{3}}$
4. D.
   $\frac{\hat{i}+7\hat{j}+5\hat{k}}{5\sqrt{3}}$

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1. A.
   $\dfrac{\pm 4}{3\sqrt{10}}, \dfrac{\mp 5}{3\sqrt{10}}, \dfrac{\pm 7}{3\sqrt{10}}$
2. B.
   $\dfrac{\pm 4}{3\sqrt{10}}, \dfrac{\pm 5}{3\sqrt{10}}, \dfrac{\mp 7}{3\sqrt{10}}$
3. C.
   $\dfrac{\mp 4}{3\sqrt{10}}, \dfrac{\pm 5}{3\sqrt{10}}, \dfrac{\pm 7}{3\sqrt{10}}$
4. D.
   $\dfrac{\pm 4}{3\sqrt{10}}, \dfrac{\pm 5}{3\sqrt{10}}, \dfrac{\pm 7}{3\sqrt{10}}$

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1. A.
   $\dfrac{-6\hat{i} - 5\hat{j} + 2\hat{k}}{\sqrt{65}}$
2. B.
   $\dfrac{6\hat{i} - 5\hat{j} + 2\hat{k}}{\sqrt{65}}$
3. C.
   $\dfrac{6\hat{i} + 5\hat{j} + 2\hat{k}}{\sqrt{65}}$
4. D.
   $\dfrac{6\hat{i} - 5\hat{j} - 2\hat{k}}{\sqrt{65}}$

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