Calculate r1(t) · r2(t)] and (ri(t) × r2(t)] first by differentiating dt the product directly and then by applying the formulas dt d r (t) · r2(t)] = r1(t) · dr2, dri dt · r2(t) and + dt dr2, drį + dt d tr:(t) x r2(t)] = r1(t) × x r2(t). dt r.(t) = 3ti + 5tj + 6t°k, r2(t) = t'k r(t) · r2(t)] : r:(t) × r2(t)] :

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 16CM
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Calculate r1(t) · r2(t)] and (ri(t) × r2(t)] first by differentiating
dt
the product directly and then by applying the formulas
dt
d
r (t) · r2(t)] = r1(t) ·
dr2, dri
dt
· r2(t) and
+
dt
dr2, drį
+
dt
d
tr:(t) x r2(t)] = r1(t) ×
x r2(t).
dt
r.(t) = 3ti + 5tj + 6t°k, r2(t) = t'k
r(t) · r2(t)] :
r:(t) × r2(t)] :
Transcribed Image Text:Calculate r1(t) · r2(t)] and (ri(t) × r2(t)] first by differentiating dt the product directly and then by applying the formulas dt d r (t) · r2(t)] = r1(t) · dr2, dri dt · r2(t) and + dt dr2, drį + dt d tr:(t) x r2(t)] = r1(t) × x r2(t). dt r.(t) = 3ti + 5tj + 6t°k, r2(t) = t'k r(t) · r2(t)] : r:(t) × r2(t)] :
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