Simplify {-3}{5}+{2}{-7}

Correct Answer is : (−1−2)\;\;{-1}{-2}(−2−1)

Correct Answer is : (−1−2)\;\;{-1}{-2}(−2−1)

Test Index

BECE Mathematics 2016 Paper

Question : 36

Total: 40

Simplify

\binom{-3}{5}+\binom{2}{-7}

Solution:

Concept:

Addition of column vectors is done by adding corresponding components.

Explanation:

For two vectors

\binom{a}{b}

and

\binom{c}{d}

, we have:

\binom{a}{b}+\binom{c}{d}=\binom{a+c}{b+d}

Now add the given vectors:

\binom{-3}{5}+\binom{2}{-7}=\binom{-3+2}{5+(-7)}

Simplify each component:

-3+2=-1 \quad \text{and} \quad 5-7=-2

So the result is:

\binom{-1}{-2}

This matches option C.

Answer:

\binom{-1}{-2}

Option C.

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