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MATH / The set of points (x,y,z) that satisfy

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

The set of points (x,y,z)(x,y,z) that satisfy 2x=3y=−z2x = 3y = -zis a line. The set of points (x,y,z)(x,y,z) that satisfy 6x=−y=−4z6x = -y = -4zis another line. Find the angle between these lines, in degrees.
Plain-text mathematical notation (without MathML)
The set of points (x,y,z) that satisfy
2x=3y=−zis a line.

The set of points (x,y,z) that satisfy
6x=−y=−4zis another line.

Find the angle between these lines, in degrees.
Original LaTeX notation
The set of points $(x,y,z)$ that satisfy
\[2x = 3y = -z\]is a line.

The set of points $(x,y,z)$ that satisfy
\[6x = -y = -4z\]is another line.

Find the angle between these lines, in degrees.

level

Level 4

type

Precalculus

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Source and history

task_id
1df14236-9ad0-51a5-a979-1e8f1fcded78
task_key
precalculus--test--1df14236-9ad0-51a5-a979-1e8f1fcded78
task_revision_id
1
config / split
precalculus / test

Official source

initial import