a.
Find the distance between the point and the line given by each set of parametric equations.
a.
Answer to Problem 17PS
Explanation of Solution
Given information:
The distance between a point
where
Calculation:
Consider the vectors in space
Distance between a point Q and line in space with direction vector
The coordinates of point Q is
Direction vector of line is
Hence coordinates of point
Now cross product of two vectors and is
Therefore
Hence the distance of given point from the line is
b.
Find the distance between the point and the line given by each set of parametric equations.
b.
Answer to Problem 17PS
Explanation of Solution
Given information:
The distance between a point
where
Calculation:
Consider the vectors in space
Distance between a point Q and line in space with direction vector
The coordinates of point Q is
Direction vector of line is
Therefore coordinates of point
Now cross of two vectors and is
Therefore
Hence the distance of point
Chapter 11 Solutions
EBK PRECALCULUS W/LIMITS
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