Vector Algebra Question 12

Question: A vector of magnitude 14 lies in the xy-plane and makes an angle of $ 60^{o} $ with x-axis. The components of the vector in the direction of x-axis and y-axis are

Options:

A) $ 7,7\sqrt{3} $

B) $ 7\sqrt{3},7 $

C) $ 14\sqrt{3},14/\sqrt{3} $

D) $ 14/\sqrt{3},14\sqrt{3} $

Show Answer

Answer:

Correct Answer: A

Solution:

  • $ 14,\cos 60{}^\circ , $ $ 14,\sin 60{}^\circ $ or $ 7,\frac{14\sqrt{3}}{2} $ or $ 7,7\sqrt{3}. $