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VECTOR DIFFERENTIATION: If A = t(^2)i - tj + (2t+1)k and B = (2t-3) i + j - tk, obtain the following at t=1: a) d/dt(A dot B) b) d/dt(A x B) c) d/dt |A + B| d) d/dt (A x dB/dt)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section: Chapter Questions

Problem 39RE

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Question

VECTOR DIFFERENTIATION:

If A = t(^2)i - tj + (2t+1)k and B = (2t-3) i + j - tk, obtain the following at t=1:

a) d/dt(A dot B)

b) d/dt(A x B)

c) d/dt |A + B|

d) d/dt (A x dB/dt)

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

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