Find a vector in the direction of vector $\vec{a} = \hat{i} - 2\hat{j}$ that has magnitude $7$ units.

  • A
    $\frac{7}{\sqrt{5}} \hat{i} - \frac{14}{\sqrt{5}} \hat{j}$
  • B
    $\frac{1}{\sqrt{5}} \hat{i} - \frac{2}{\sqrt{5}} \hat{j}$
  • C
    $\frac{7}{\sqrt{5}} \hat{i} + \frac{14}{\sqrt{5}} \hat{j}$
  • D
    $\frac{1}{\sqrt{5}} \hat{i} + \frac{2}{\sqrt{5}} \hat{j}$

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