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91Ó°ÊÓ

The vector v has initial point P and terminal point Q. Write v in the form ai + bj; that is, find its position vector.

P=(0,0);Q=(-3,-5)

Short Answer

Expert verified

The position vector is-3i^-5j^.

Step by step solution

01

Step 1. Given Information

We are given initial point as P=(0,0)and terminal point as Q=(-3,-5)and we need to find the position vector.

02

Step 2. Finding the position vector

The position vector v with initial point (a1,b1)and terminal point (a2,b2)is given by v=(a2-a1)i^+(b2-b1)j^.

Substituting the values we get the required position vector

∴v=(-3-0)i^+(-5-0)j^⇒v=-3i^-5j^

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