If {OX}={-7}{6} and {OY}={16}{-11}, find {YX}.

Correct Answer is : (−23−17){pmatrix}-23\\-17{pmatrix}(−23−17)

Correct Answer is : (−23−17){pmatrix}-23\\-17{pmatrix}(−23−17)

Test Index

WAEC Further Mathematics 2018 Paper

Question : 34

Total: 40

\overrightarrow{OX}=\binom{-7}{6}

\overrightarrow{OY}=\binom{16}{-11}

\overrightarrow{YX}

Solution:

Concept:

\overrightarrow{YX}

is the vector from

Y

X

. Since

O

is the origin,

\overrightarrow{YX} = \overrightarrow{OX} - \overrightarrow{OY}

Explanation:

Given

\overrightarrow{OX} = \binom{-7}{6}

and

\overrightarrow{OY} = \binom{16}{-11}

Now subtract the position vectors:

\overrightarrow{YX} = \binom{-7}{6} - \binom{16}{-11}

= \binom{-7 - 16}{6 - (-11)}

= \binom{-23}{17}

Alternatively,

\overrightarrow{YX} = \overrightarrow{YO} + \overrightarrow{OX}

Since

\overrightarrow{YO} = -\overrightarrow{OY} = \binom{-16}{11}

\overrightarrow{YX} = \binom{-16}{11} + \binom{-7}{6} = \binom{-23}{17}

Answer:

\overrightarrow{YX} = \binom{-23}{17}

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