Find the curvature of the curve $\mathbf { r } ( t ) = 2 t \mathbf { i } + 6 t \mathbf { j } + 9 \mathbf { k }$ .
A) 1
B) $2 \sqrt { 10 }$
C) 11
D) 0

Name: Find the curvature of the curve $\mathbf { r } ( t ) = 2 t \mathbf { i } + 6 t \mathbf { j } + 9 \mathbf { k }$ . A) 1 B) $2 \sqrt { 10 }$ C) 11 D) 0
Brand: Quizplus
Rating: 4.8 (32 reviews)

Question

Quizplus · Accepted Answer

The curve is a straight line, as the position vector is linear in $t$. The curvature of a straight line is always 0.

Find the Curvature of the Curve r(t)=2ti+6tj+9k\mathbf { r } ( t ) = 2 t \mathbf { i } + 6 t \mathbf { j } + 9 \mathbf { k }r(t)=2ti+6tj+9k

Find the Curvature of the Curve $\mathbf { r } ( t ) = 2 t \mathbf { i } + 6 t \mathbf { j } + 9 \mathbf { k }$