Question

Given A(2, 3) B(1, 4) C(1, 3) D(-2, 2). How are AB and CD related?

Answer 1

The vector AB is not related with the vector CD as k is not the same for each pair of components.

Are two vectors similar?

In this question we must prove if the vector AB is a multiple of the vector CD, that is:

$\overrightarrow{AB} = k \cdot \overrightarrow {CD}$

$\vec B - \vec A = k \cdot [\vec D - \vec C]$

(1, 4) - (2, 3) = k · [(- 2, 2) - (1, 3)]

(- 1, 1) = k · (- 3, - 1)

Hence, the vector AB is not related with the vector CD as k is not the same for each pair of components.

To learn more on vectors: brainly.com/question/13322477

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