Question

Vector d is shown on a centimetre grid. Image attached.

Answer 1

Answer:

see explanation

Step-by-step explanation:

A column vector has the form $\left[\begin{array}{ccc}x\\y\\\end{array}\right]$

Following the direction of the arrow , the x- displacement = - 3 and y- displacement = 2 , then column vector is

$\left[\begin{array}{ccc}-3\\2\\\end{array}\right]$

h + k

= $\left[\begin{array}{ccc}4\\-3\\\end{array}\right]$ + $\left[\begin{array}{ccc}-2\\-1\\\end{array}\right]$ ← add corresponding elements from each vector

= $\left[\begin{array}{ccc}4-2\\-3-1\\\end{array}\right]$

= $\left[\begin{array}{ccc}2\\-4\\\end{array}\right]$