Give that a={4}{-6} and b={-4}{6}. find a+b.

Correct Answer is : (00){0}{0}(00)

Correct Answer is : (00){0}{0}(00)

Test Index

BECE Mathematics 2017 Paper

Question : 20

Total: 40

Give that

a=\binom{4}{-6}

b=\binom{-4}{6}

a+b

Solution:

Concept:

Adding two vectors means adding their corresponding components element-wise.

Explanation:

Given

a = \binom{4}{-6}

and

b = \binom{-4}{6}

Add the top components:

4 + (-4) = 0

Add the bottom components:

-6 + 6 = 0

a + b = \binom{4 + (-4)}{-6 + 6} = \binom{0}{0}

Notice that

b

is exactly the negative of

a

, so the two vectors cancel each other completely.

Answer:

Option A:

\binom{0}{0}

Go to Question:

Prev Question

Next Question