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sesenic [268]
3 years ago
9

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

Mathematics
1 answer:
nexus9112 [7]3 years ago
3 0

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]

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