Given that {arrow}{P Q} = {-3}{8} find, {arrow}{Q P}

Correct Answer is : (3−8)\;{3}{-8}(−83)

Correct Answer is : (3−8)\;{3}{-8}(−83)

Test Index

BECE Mathematics 2022 Paper

Question : 6

Total: 40

Given that

\overset{\rightarrow}{P Q} = \binom{-3}{8}

\overset{\rightarrow}{Q P}

Solution:

Concept:

Reversing the direction of a vector means multiplying both components by

-1

Explanation:

Given

\overset{\rightarrow}{PQ} = \binom{-3}{8}

The vector

\overset{\rightarrow}{QP}

is the negative of

\overset{\rightarrow}{PQ}

So,

\overset{\rightarrow}{QP} = -\overset{\rightarrow}{PQ}

Multiply each component by

-1

\overset{\rightarrow}{QP} = \binom{-(-3)}{-8} = \binom{3}{-8}

Answer:

\overset{\rightarrow}{QP} = \binom{3}{-8}

Thus, the correct option is C.

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