Find a Set of Symmetric Equations for the Line Through $x = 3 + 3 t , y = 5 - 2 t , z = - 7 + t$

question 32

Multiple Choice

Find a set of symmetric equations for the line through the point and parallel to the specified vector or line.
Point: (5,0,2)
Parallel to: $x = 3 + 3 t , y = 5 - 2 t , z = - 7 + t$

• A)Symmetric equations: \(\frac { x + 3 } { 3 } = \frac { y - 2 } { - 2 } = z - 2\)
• B)Symmetric equations: \(\frac { x - 2 } { 3 } = \frac { y - 2 } { - 2 } = z - 2\)
• C)Symmetric equations: \(\frac { x - 5 } { - 2 } = \frac { y } { 3 } = z - 2\)
• D)Symmetric equations: \(\frac { z - 5 } { 3 } = \frac { y } { - 2 } = x - 2\)
• E)Symmetric equations: \(\frac { x - 5 } { 3 } = \frac { y } { - 2 } = z - 2\)

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Definitions:

Population Standard Deviation

A measure of the dispersion or spread of a set of data points in a population dataset.

Confidence Interval

A range of values, derived from sample data, that is likely to contain the value of an unknown population parameter with a certain level of confidence.

Population Mean

The average of all observations or scores in a population.

Confidence Level

The probability that a confidence interval will contain the true population parameter.