Calculate r:(t) - r2(t)] and r:(t) × r2(t)] first by differentiating dt the product directly and then by applying the formulas dr2 , dri ri(t) - r2(t)] = r1(t) - · r2(t) and dt dt dt dr2 drį dt r(t) × r2(t)] = r:(t) × x r2(t). dt dt ri(t) = 9ti + 9t²j + t°k, r2(t) =t*k [r:(t) • r2(t)] =| r:(t) x r2(t)] =|

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Linear Transformations
Section6.2: The Kernewl And Range Of A Linear Transformation
Problem 61E
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Question
d
d.
Calculate r:(t) · r2(t)] and r:(t) × r2(t)] first by differentiating
dt
dt
the product directly and then by applying the formulas
[r.(t) · r2(t)] = r,(t) . dr2 dri
dt
dt
d
· r2(t) and
dt
d
r:(t) x r2(t)] = r:(t) ×
dr2, dri
x r2(t).
dt
dt
dt
ri(t) = 9ti + 9t²j + t°k, r2(t) = t*k
d
ri(t) - r2(t)] =
dt
ri(t) × r2(t)] =|
dt
Transcribed Image Text:d d. Calculate r:(t) · r2(t)] and r:(t) × r2(t)] first by differentiating dt dt the product directly and then by applying the formulas [r.(t) · r2(t)] = r,(t) . dr2 dri dt dt d · r2(t) and dt d r:(t) x r2(t)] = r:(t) × dr2, dri x r2(t). dt dt dt ri(t) = 9ti + 9t²j + t°k, r2(t) = t*k d ri(t) - r2(t)] = dt ri(t) × r2(t)] =| dt
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