If a¯=3i¯-2j¯+k¯ and b¯=i¯+2j¯+5k¯ then unit vector in the direction of a¯-b¯ is

Required vector = a¯-b¯a¯-b¯=2i¯-2j¯-2k¯2i¯-2j¯-2k¯=i¯-2j¯-2k¯3

If a¯=3i¯-2j¯+k¯ and b¯=i¯+2j¯+5k¯ then unit vector in the direction of a¯-b¯ is

Required vector = a¯-b¯a¯-b¯=2i¯-2j¯-2k¯2i¯-2j¯-2k¯=i¯-2j¯-2k¯3

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If $\bar{a} = 3 \bar{i} - 2 \bar{j} + \bar{k}$ and $\bar{b} = \bar{i} + 2 \bar{j} + 5 \bar{k}$ then unit vector in the direction of $\bar{a} - \bar{b}$ is

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$\frac{1}{\sqrt{34}} (- 2 \bar{i} - 4 \bar{j} + 4 \bar{k})$

$\frac{1}{4} (\bar{i} - 2 \bar{j} - 2 \bar{k})$

$\frac{1}{3} (\bar{i} - 2 \bar{j} - 2 \bar{k})$

$\frac{1}{6} (- 2 \bar{i} - 4 \bar{j} - 2 \bar{k})$

answer is B.

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Detailed Solution

Required vector =

$\frac{\bar{a} - \bar{b}}{|\bar{a} - \bar{b}|} = \frac{2 (\bar{i} - 2 \bar{j} - 2 \bar{k})}{2 |\bar{i} - 2 \bar{j} - 2 \bar{k}|} = \frac{\bar{i} - 2 \bar{j} - 2 \bar{k}}{3}$

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If a¯=3i¯-2j¯+k¯ and b¯=i¯+2j¯+5k¯ then unit vector in the direction of a¯-b¯ is

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If $\bar{a} = 3 \bar{i} - 2 \bar{j} + \bar{k}$ and $\bar{b} = \bar{i} + 2 \bar{j} + 5 \bar{k}$ then unit vector in the direction of $\bar{a} - \bar{b}$ is