Let C = (-2, -1) be the center of dilation. Let X = (1, 1), Y = (3, 0) and Z = (2,5). Our dilation factor is k = 3. (a) Find the following vectors CX, CY, and CZ. (b) Apply the dilation factor to find vectors CK', CY', and CZ'. (c) Find the points X'. Y'. Z’. (d) Show that XYZ ~ X'Y'Z'.

Let C = (-2, -1) be the center of dilation. Let X = (1, 1), Y = (3, 0) and Z = (2,5). Our dilation factor is k = 3. (a) Find the following vectors CX, CY, and CZ. (b) Apply the dilation factor to find vectors CK', CY', and CZ'. (c) Find the points X'. Y'. Z’. (d) Show that XYZ ~ X'Y'Z'.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 22E

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Question

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Let C = (-2, -1) be the center of dilation. Let X = (1, 1), Y = (3, 0) and Z = (2,5). Our dilation factor is k = 3.

(a) Find the following vectors CX, CY, and CZ.

(b) Apply the dilation factor to find vectors CK', CY', and CZ'.

(d) Show that XYZ ~ X'Y'Z'.

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

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