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1. The problem statement, all variables and given/known data

The motion of a particle is defined by the position vector

r = A(Cos t + t Sin t) i + A(Sin t + t Cos t) j where t is expressed in seconds. Determine the values of t for which the position vector and acceleration vector are

a) perpendicular

b) parallel

2. Relevant equations

3. The attempt at a solution

For acceleration i have differentiate r twice and arrive at the equation. So, i should go for cross product to find 't' when they are parallel and dot product when they are perpendicular.

Am I right in my procedure, revered members?

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# Position and acceleration vector - parallel and perpendicular

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