Mathematics

Problem

A vector

\mathbf{a}

has component

2p

and

1

with respect to a rectangular cartesian system. The system is rotated through a certain angle about the origin in the counter clockwise sense. If with to the new system,

\mathbf{a}

has components

(p+1)

and

1

, where

p

take the values

p_1

and

p_2

. Then, the value of

3|p_1 + p_2|

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