Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 13 - Vector Functions - Review - True-False Quiz: 1

Answer

True

Work Step by Step

Given: $r(t)=t^{3}i+2t^{3}j+3t^{3}k$ All three $i,j,k$ increase linearly in relation to each other if we put $t^{3}=x$ $r(x)=xi+2xj+3xk$ Since, all the coefficients are linear in $x$ this forms a line. Hence, the statement is true.
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