A vector of magnitude $\sqrt{51}$ which makes equal angles with the vectors $\bar{a}=\frac{1}{3}(\bar{i}-2…

A vector of magnitude $\sqrt{51}$ which makes equal angles with the vectors $\bar{a}=\frac{1}{3}(\bar{i}-2 \bar{j}+2 \bar{k})$, $\bar{b}=\frac{1}{5}(-4 \bar{i}-3 \bar{k})$ and $\bar{c}=\bar{j}$, is
  1. $5 \bar{i}-\bar{j}+5 \bar{k}$
  2. $-5 \bar{i}+\bar{j}-5 \bar{k}$
  3. $-5 \bar{i}+\bar{j}+5 \bar{k}$
  4. $-\bar{i}-\bar{j}+7 \bar{k}$

Solution

No solution. Refer to answer key.

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

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