A vector in the direction of $v=2 \widehat{i}+3 \hat{j}+\widehat{k}$ with magnitude $\sqrt{7}$ is

A vector in the direction of $v=2 \widehat{i}+3 \hat{j}+\widehat{k}$ with magnitude $\sqrt{7}$ is
  1. $\frac{2}{\sqrt{3}} \widehat{i}+\frac{3}{\sqrt{3}} \hat{j}+\frac{1}{\sqrt{3}} \widehat{k}$
  2. $\widehat{i}+\frac{3}{2} \widehat{j}+\frac{1}{2} \widehat{k}$
  3. $\frac{2}{\sqrt{2}} \widehat{i}+\frac{3}{\sqrt{2}} \hat{j}+\frac{1}{\sqrt{2}} \widehat{k}$
  4. $\frac{2}{\sqrt{7}} \hat{i}+\frac{3}{\sqrt{7}} \hat{j}+\frac{1}{\sqrt{7}} \widehat{k}$

Solution

No solution. Refer to answer key.

Asked in: AP EAMCET 2020 (07 Oct Special)

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