(c) If f is a C² scalar function, then V × (Vƒ) = 0.TrueFalse(d) The lines 1₁ (t) = (1 − t, 1 + t, 2t) and 1₂ (t)=TrueFalse(4-2t, 3 + 2t, 1 + 5t) are parallel.

(C) If c is scalar function Means curl(grad ƒ) is = 0 Therefore correct ans is True

Answered: (c) If f is a C² scalar function, then…

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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ri(t) = (-8, 10.5, – 5) + t (0, 3,0) r2(t) = (-12.5, 10.5, 1) + t (3, –1, –4) Find the point of intersection, P, of the lines rį and r2. P =
H1
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(c) If f is a C² scalar function, then V × (Vƒ) = 0. True False (d) The lines 1₁ (t) = (1 − t, 1+ t, 2t) and 1₂ (t) = (4 - 2t, 3 + 2t, 1 + 5t) are parallel. True False