For the Vector-Valued Function r(t)=-2t^{5}i-6t^{4}j Find r'(t)\times r''(t)

Pearl Carney

Pearl Carney

Answered question

2021-12-03

For the Vector-Valued Function
r(t)=2t5i6t4j
Find r(t)×r(t)

Answer & Explanation

Lorraine David

Lorraine David

Beginner2021-12-04Added 13 answers

Step 1
Given
r(t)=2t5i6t4j
Now
r(t)=10t4i24t3j
r(t)=40t3i72t2j
Now
r(t)×r(t)=(10t4i24t3j)×(40t3i72t2j)
=400t7+1728t5
Hence
r(t)×r(t)=400t7+1728t5

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