Concept explainers
a.
To find: A set of parametric equation of the lines passing through given two points.
a.
Answer to Problem 13E
Explanation of Solution
Given information:
A line is passing through point
Concepts used:
Calculation:
Let line is passing through the points
So,
Also, the direction vector of line passing through
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 two given points.
b.
Answer to Problem 13E
Explanation of Solution
Given information:
Same as part
Concepts used:
Vectors are used for determining equation of a line in space. A line passing through the point
When direction numbers
Calculation:
Let line is passing through the points
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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