Let u(t) = tºi – t³j + 8tk and v(t) = 7ti – t³j + tºk. Find [u(t) · v(t)] and [u(t) × v(t)]. (Express numbers in exact form. Use symbolic notation and fractions where needed.) Lu [u(t) v(t)] = dt (Give your answer using component form or standard basis vectors. Express numbers in exact form. Use symbolic notation a fractions where needed.) d -Tu(t) x x(+)] -

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
Problem 69EQ: Let x=x(t) be a twice-differentiable function and consider the second order differential equation...
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Let u(t) = tºi – t³j + 8tk and v(t) = 7ti − t³j + tºk. Find d[u(t) · v(t)] and [u(t) × v(t)].
(Express numbers in exact form. Use symbolic notation and fractions where needed.)
Lu [u(t) v(t)] =
dt
(Give your answer using component form or standard basis vectors. Express numbers in exact form. Use symbolic notation and
fractions where needed.)
-[u(t) x v(t)] =
dt
Transcribed Image Text:Let u(t) = tºi – t³j + 8tk and v(t) = 7ti − t³j + tºk. Find d[u(t) · v(t)] and [u(t) × v(t)]. (Express numbers in exact form. Use symbolic notation and fractions where needed.) Lu [u(t) v(t)] = dt (Give your answer using component form or standard basis vectors. Express numbers in exact form. Use symbolic notation and fractions where needed.) -[u(t) x v(t)] = dt
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