Find the vector which translate the point (2,6) to (5,4).

Correct Answer is : (3−2)\;\; {3}{-2}(−23)

Correct Answer is : (3−2)\;\; {3}{-2}(−23)

Test Index

BECE Mathematics 2023 Paper

Question : 35

Total: 40

(2,6)

(5,4)

Solution:

Concept:

The translation vector is found by subtracting the original point from the image point.

Explanation:

Let the translation vector be

\binom{x}{y}

Then,

\binom{2}{6} + \binom{x}{y} = \binom{5}{4}

This gives

\binom{2+x}{6+y} = \binom{5}{4}

Equating the top components:

2 + x = 5

So,

x = 5 - 2 = 3

Equating the bottom components:

6 + y = 4

So,

y = 4 - 6 = -2

Therefore, the translation vector is

\binom{3}{-2}

Answer:

\binom{3}{-2}

, which is Option C.

Go to Question:

Prev Question

Next Question