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1 markPaper 1 · Multiple choiceAngle Between Two Vectors

CSEC Additional Mathematics · 2013 · Paper 1 · Question Q26

The position vectors of A and B relative to an origin O are \begin{pmatrix} 2 \\ 5 \end{pmatrix} and \begin{pmatrix} 3 \\ -1 \end{pmatrix} respectively. The acute angle AOB is given by

  1. (A)\cos^{-1}\left(\frac{1}{\sqrt{290}}\right)
  2. (B)\cos^{-1}\left(\frac{11}{\sqrt{290}}\right)
  3. (C)\cos^{-1}\left(\frac{\sqrt{11}}{\sqrt{290}}\right)
  4. (D)\cos^{-1}\left(\frac{-1}{290}\right)

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