Find the vector which translates the point (4,-5) to (3,-2)

Correct Answer is : (−13) {-1}{3}(3−1)

Correct Answer is : (−13) {-1}{3}(3−1)

Test Index

BECE Mathematics 2013 Paper

Question : 18

Total: 40

(4,-5)

(3,-2)

Solution:

\qquad \text{Point} + \text{Translation Vector} = \text{Translated Point}

\qquad \text{Translated Point} = (3,-2) = \binom{3}{-2}

\qquad \text{Point} = (4,-5) = \binom{4}{-5}

\qquad \text{Let the translation vector} = \binom{x}{y}

\binom{4}{-5} + \binom{x}{y} = \binom{3}{-2}

\qquad \text{Addition of vectors}

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

\binom{4}{-5} + \binom{x}{y} = \binom{3}{-2}

\binom{4+x}{-5+y} = \binom{3}{-2}

The top at the left is equal to the top at the right and the down at the left is equal to the down at the right

4+x=3

x=3-4

x=-1

-5+y=-2

y=-2+5

y=3

The translation vector

=\binom{-1}{3}

Go to Question:

Prev Question

Next Question