Question

Let \(O\) be the origin and \(\vec r\) be the position vector of a point \(P\). If \(\overline{OP}\) makes angles \(\frac{\pi}{3}\) and \(\frac{\pi}{6}\) with \(\overline{i}\) and \(\overline{j}\) respectively, then a vector along \(\overline{OP}\) with magnitude 2 is

• A. \(\vec i+\sqrt3\,\vec j\)
• B. \(\vec j+\sqrt3\,\vec k\)
• C. \(\sqrt{3}\vec i+\vec j\)
• D. \(\sqrt3\,\vec j+\vec k\) \bigskip

Hint:

Multiply unit vector by required magnitude to get actual vector.

Answer 1

The Correct Option is A