A unit vector orthogonal to the vector $3 \bar{i}+4 \bar{j}+5 \bar{k}$ and coplanar with the vectors…

A unit vector orthogonal to the vector $3 \bar{i}+4 \bar{j}+5 \bar{k}$ and coplanar with the vectors $\bar{i}+\bar{j}+\bar{k}$ and $\bar{i}-\bar{j}+\bar{k}$ is
  1. $\frac{1}{5}(4 \bar{i}-3 \bar{j})$
  2. $\frac{1}{\sqrt{11}}(3 \bar{i}-\bar{j}-\bar{k})$
  3. $\frac{1}{3}(2 \bar{i}+\bar{j}-2 \bar{k})$
  4. $\frac{1}{\sqrt{6}}(\bar{i}-2 \bar{j}+\bar{k})$

Solution

No solution. Refer to answer key.

Asked in: AP EAMCET 2017 (24 Apr Shift 2)

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