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Arlecino [84]
3 years ago
9

Marguerite drew a rectangle with vertices A(-2,-1) B(-2,-4) and C (1,-4) what are the coordinates of the fourth vortex?

Mathematics
2 answers:
vfiekz [6]3 years ago
7 0
The fourth vortex is (1, -1)
AleksAgata [21]3 years ago
4 0

Concept:

we use the vector method to solve this problem, take all the vertices in vector foam.

In the rectangle their exist two pair of parallel and equal sides, take the one pair and solve for unknown vertex.

BA=CD

A-B = D-C

(-2i-j)-(-2i-4j) = (xi+yj)-(1i-4j)

(-2i-j+2i+4j) = (xi+yj-1i+4j)

3j = xi+yj-1i+4j

i+3j-4j = xi+yj

1i-1j= xi+yj

by comparing,

x= 1

y= -1

so D vertex is (1, -1)

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Step-by-step explanation:

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mihalych1998 [28]

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<u>Linear Combination Of Vectors </u>

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In our case, all the vectors are given in R^3 but there are only two possible components for the linear combination. This indicates that only two conditions can be used to determine both scalars, and the other condition must be satisfied once the scalars are found.

We have

\vec a_1=,\ \vec a2=,\ \vec b=

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