## Linear Algebra: A Modern Introduction

$750\sqrt{2}N$
It is given that a cable is applied to lift the car. The tension on the cable is $T=1500N$, and it makes an angle $\theta=45^{\circ}$ with horizontal axis Thus, to lift the car, we find: =$1500\sin45^{\circ}=1500\times\frac{1}{\sqrt{2}}=750\sqrt{2}N$