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Chapter 10: Q. 11 (page 788)

What point is symmetric about the origin to the point(5,鈭�6,7)?

Short Answer

Expert verified

The symmetric point to the origin(5,-6,7)is (-5,6,-7).

Step by step solution

01

Introduction.

If(a,b)andlocalid="1654144561844" (-a,-b) are on a graph, it is said to be symmetric about the origin.

02

Given Information.

Consider the following statement:

(5,-6,7)

The goal is to find this same point about origin that really is symmetric to this point.

03

Explanation.

Because the xand z coordinates are positive and the ycoordinate is negative, the point (5,-6,7)is in the third octant.

The symmetric point well about origin to this juncture will be in the sixth octant.

Both the x and y coordinates are negative in the sixth octant, while the y coordinate is positive.

As a result, the point symmetric to a point (5,-6,7)about origin is(-5,6,-7).

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