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## Homework Statement

At noon two boats P and Q have a position vector (i+7j)km and (3i+8j)km respectively to the origin O.

i and j are unit vectors in direction to East and north respectively

P is moving south east at 5√2 km/h and Q is moving at a constant velocity of (6i+5j) km/h

At time t after noon the position vectors of P and Q with respect to O are p km and Q km

a) show that the velocity of P is ( 5i + 5j)

b) find the time to the nearest minute when Q is north east of P

## Homework Equations

Phythogorus theorum a^2 = b^2 + c^2

## The Attempt at a Solution

I have done part a)

Where if the velocity is (5i+5j), then if you use phythogorus theorum where √(5^2+5^2) I get 5√2

I don't know how to do part b)