Angle Sum Theorem Acellus 20 120 y = ?
1 answer:
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Answer:
r(t) and s(t) are parallel.
Step-by-step explanation:
Given that :
the lines represented by the vector equations are:
r(t)=⟨1−t,3+2t,−3t⟩
s(t)=⟨2t,−3−4t,3+6t⟩
The objective is to determine if the following lines represented by the vector equations below intersect, are parallel, are skew, or are identical.
NOTE:
Two lines will be parallel if
here;
Thus;
∴
Hence, we can conclude that r(t) and s(t) are parallel.
Given:
Point S is translated 5 units to the left and 12 units up to create point S'.
To find:
The distance between the points S and S'.
Solution:
Point S is translated 5 units to the left and 12 units up to create point S'.
The diagram for the given problem is shown below.
From the below figure it is clear that the distance between the point S and S' is the height of a right triangle whose legs are 5 units and 12 units.
By Pythagoras theorem,
Taking square root on both sides.
Therefore, the distance between S and S' is 13 units.
