d Calculate r1(t)·r2(t)] and ri(t) × r2(t)] first by differentiating dt dt the product directly and then by applying the formulas d [ri(t) r2(t)] = r1(t). dr2, dri r2(t) and dt dt dt d dr2, dri [ri(t) x r2(t)] = ri(t) x dt x r2(t). dt dt ri(t) = cos(t)i + sin(t)j+ 3tk, r2(t) = 2i + tk d [ri(t) r2(t)] = dt
d Calculate r1(t)·r2(t)] and ri(t) × r2(t)] first by differentiating dt dt the product directly and then by applying the formulas d [ri(t) r2(t)] = r1(t). dr2, dri r2(t) and dt dt dt d dr2, dri [ri(t) x r2(t)] = ri(t) x dt x r2(t). dt dt ri(t) = cos(t)i + sin(t)j+ 3tk, r2(t) = 2i + tk d [ri(t) r2(t)] = dt
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.3: Algebraic Expressions
Problem 40E
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Question
4a Please give me the full solution and answer, Thank you
![d
d
Calculate
[ri(t) · r2(t)] and ri(t) x r2(t)] first by differentiating
dt
dt
the product directly and then by applying the formulas
d
ri(t) - r2(t)] = r1(t) :
dr2, dri
+
dt
dt
r2(t) and
dt
d
[ri(t) x r2(t)] = ri(t) x
dr2, dri
x r2(t).
dt
dt
dt
r1(t) = cos(t)i + sin(t)j + 3tk,
r2(t) = 2i + tk
d
[ri(t) r2(t)]
dt](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4d619f9c-06ac-4dc3-be26-861376c101e5%2Ff40a176d-a81d-4529-b5e1-bc66bbe00e6d%2Fx1ao3fb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:d
d
Calculate
[ri(t) · r2(t)] and ri(t) x r2(t)] first by differentiating
dt
dt
the product directly and then by applying the formulas
d
ri(t) - r2(t)] = r1(t) :
dr2, dri
+
dt
dt
r2(t) and
dt
d
[ri(t) x r2(t)] = ri(t) x
dr2, dri
x r2(t).
dt
dt
dt
r1(t) = cos(t)i + sin(t)j + 3tk,
r2(t) = 2i + tk
d
[ri(t) r2(t)]
dt
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