a.
To find: A set of parametric equation of the lines passing through given point and parallel to the specified
a.
Answer to Problem 6E
Explanation of Solution
Given information:
A line is passing through point
Concepts used:
Vectors are used for determining equation of a line in space. A line passing through the point
Calculation:
Line is passing through the point
So,
Line is parallel to the direction vector
So, direction numbers are
Now parametric equation of the lines passing through point
Hence, desired parametric equation of line is
b.
To find: A set of symmetric equation of the line passing through given point and parallel to the specified vector.
b.
Answer to Problem 6E
Explanation of Solution
Given information:
A line is passing through point
Concepts used:
Vectors are used for determining equation of a line in space. A line passing through the point
When direction numbers
Calculation:
Line is passing through the point
So,
Line is parallel to the direction vector
So, direction numbers are
From part
Since, direction numbers
Therefore, set of symmetric equation will be given as −
Hence, desired set of symmetric equation of line is
Chapter 11 Solutions
EBK PRECALCULUS W/LIMITS
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