If |\overline{x}|=13 and direction angles of \overline{x} are \cos ^{-1} \frac{3}{13}, \cos ^{-1} \frac{4}{13} and \cos ^{-1} \frac{12}{13}, then find \overline{x}.

3 \overline{i}+4 \overline{j}-12 \overline{k}

3 \overline{i}+4 \overline{j}+12 \overline{k}

3 \overline{i}-4 \overline{j}+12 \overline{k}

3 \overline{i}-4 \overline{j}-12 \overline{k}

GUJCET 2011 Math Solved Paper

Question : 13 of 40

Marks: +1, -0

If |x|=13 and direction angles of x are cos−1‌

,cos−1‌

and cos−1‌

, then find x.

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