(a) For a given vector a + 0, describe the loci (the set of points 7determined by the equations:(x, y, z)) on R³(i) d (2—2, у+1, 2— 3) 3D 0.(ii) ||7– a||21.Z-.(b) A person throws a paper ball from a height of 4m from the ground. The wind is blowingand the acceleration is given by2/3a(t) = ( 12v3t? – 24t +(12/5P -)-6for t> 0.37 (0),is thrown with an initial velocity ofmagnitude 4m/s at an angle 0 = rad with respect tothe horizontal. All measurements are in SI units.me3 rad4 mbasket

“Since you have asked multiple questions, we will solve the first question for you. If you want any…

Answered: (a) For a given vector a 7 0, describe…

(a) For a given vector a 7 0, describe the loci (the set of points 7 = determined by the equations: (x, y, z)) on R³ (i) d (2-2, у+1, 2—3) — 0. (ii) ||7 – a|| = 21. %3D

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

(a) For a given vector a + 0, describe the loci (the set of points 7
determined by the equations:
(x, y, z)) on R³
(i) d (2—2, у+1, 2— 3) 3D 0.
(ii) ||7– a||
21.
Z-.
(b) A person throws a paper ball from a height of 4m from the ground. The wind is blowing
and the acceleration is given by
2/3
a(t) = ( 12v3t? – 24t +
(12/5P -
)
-6
for t> 0.
3
7 (0),
is thrown with an initial velocity of
magnitude 4m/s at an angle 0 = rad with respect to
the horizontal. All measurements are in SI units.
me
3 rad
4 m
basket

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