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In Problems 47–52, find the unit vector in the same direction asv:v=i-jv=i-j

Short Answer

Expert verified

The unit vector in the same direction asvis12i-12j.

Step by step solution

01

Step 1. Magnitude of the Vector

The given vectorv=i-j

Th magnitude of the given vector is 1+1=2

02

Step 2. Unit Vector in the direction of v

Now, we multiply the scaler 1v=12. A unit vector in the same direction as vis:

v‖v‖=i-j2=12i-12j

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