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  3. (a) find symmetric equations for the line that pas

(a) Find symmetric equations for the line that passes through the point (5, −5, 6) and is parallel...

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Verified Solution

Question

Basic Math

(a) Find symmetric equations for the line that passes throughthe point

(5, −5, 6)

and is parallel to the vector

−1, 3, −2

.

−(x − 5) = 3(y + 5) = −2(z − 6).

x + 5 =

y + 5
3

=

z − 6
−2

.    

x − 5
−1

=

y + 5
3

=

z − 6
−2

.

x + 5
−1

=

y − 5
3

=

z + 6
−2

.

−(x + 5) = 3(y − 5) = −2(z + 6).


(b) Find the points in which the required line in part (a)intersects the coordinate planes.
point of intersection withxy-plane     

  


point of intersection withyz-plane     

  


point of intersection withxz-plane     

  

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