A particle is traveling along the line (x — 3)/2 (y + 1)/ (-2) = z — 1. Write the equation of its path in the form r = r o + At. Find the distance of closest approach of the particle to the origin (that is, the distance from the origin to the line). If t represents time, show that the time of closest approach is t = − ( r 0 ⋅ A ) / | A | 2 . Use this value to check your answer for the distance of approach. Hint: See Figure 5.3. If P is the point of closest approach, what is A • r?
A particle is traveling along the line (x — 3)/2 (y + 1)/ (-2) = z — 1. Write the equation of its path in the form r = r o + At. Find the distance of closest approach of the particle to the origin (that is, the distance from the origin to the line). If t represents time, show that the time of closest approach is t = − ( r 0 ⋅ A ) / | A | 2 . Use this value to check your answer for the distance of approach. Hint: See Figure 5.3. If P is the point of closest approach, what is A • r?
A particle is traveling along the line (x — 3)/2 (y + 1)/ (-2) = z — 1. Write the equation of its path in the form r = ro + At. Find the distance of closest approach of the particle to the origin (that is, the distance from the origin to the line). If t represents time, show that the time of closest approach is
t
=
−
(
r
0
⋅
A
)
/
|
A
|
2
.
Use this value to check your answer for the distance of approach. Hint: See Figure 5.3. If P is the point of closest approach, what is A • r?
Finite Mathematics for Business, Economics, Life Sciences and Social Sciences
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.