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2 marksMagnitude and Direction of a Vector

CSEC Additional Mathematics · 2014 · Paper 2 · Question 3(b)(ii)

RST is a triangle in the coordinate plane. Position vectors R, S, and T relative to an origin, O, are (1, 1), (3, -1) and (4, 4) respectively.

Determine the length of the hypotenuse. [Hint: A rough drawing of RST might help].

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Other parts of this question

  1. 3(a)(i)Determine the value of k such that the lines x + 3y = 6 and kx + 2y = 12 are perpendicular to each other.[3 marks]
  2. 3(a)(ii)A circle of radius 5 cm has as its centre the point of intersection of the two perpendicular lines in (i). Determine the equation for this circle.[3 marks]
  3. 3(b)(i)Show that TRS = 90°.[4 marks]

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