(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
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(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
Transcribed Image Text:(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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