Find a vector equation for the line segment from (6, - 1, 9) to (7,6 ,0).

Chesley

Chesley

Answered question

2021-10-15

Find a vector equation for the line segment from (6, - 1, 9) to (7,6 ,0).

Answer & Explanation

saiyansruleA

saiyansruleA

Skilled2021-10-16Added 110 answers

Step 1:
Remember that:
Vector equation of a lne segment passing through points with position vectors a and b is
r(t)=(1t)a+tb0t1
Step 2
In the given problem, let a=6,1,9 and b=7,6,0
If you want you can choose the other way round, you will get a different vector equation, but that is also valid and equivalent.
Remember : Two different looking vector equations can represent the same thing
Step 3
r(t)=(1t)6,1,9+t7,6,0
r(t)=66t,1+t,99t+7t,6t,0
r(t)=66t+7t,1+t+6t,99t+0
r(t)=6+t,1+7t,99t
Results:
r(t)=6+t,1+7t,99t   0t1

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