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In △PQR, \(\overline{PQ}\) = 5i - 2j and \(\overline{QR}\) = 4i + 3j. Find \(\overline{RP}\).

Further Mathematics
WAEC 2021

In △PQR, \(\overline{PQ}\) = 5i - 2j and \(\overline{QR}\) = 4i + 3j. Find \(\overline{RP}\).

  • A. -i - 5j
  • B. -9 - j
  • C. i + 5j
  • D. -9i + j
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Correct Answer: Option A
Explanation

\(\overline{PQ}\) = 5i - 2j;  \(\overline{QR}\) = 4i + 3j

 \(\overline{RP}\) = \(\overline{PQ}\) - \(\overline{QR}\)

= 5i - 2j - [4i + 3j] =  5i - 2j - 4i - 3j

= i - 5j

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