Home
Class 11
PHYSICS
Find the angle between two vector A=2hat...

Find the angle between two vector `A=2hati+hatj-hatk andB=hati-hatk.`

Text Solution

Verified by Experts

`a=|A|=sqrt((2)^(2)+(1)^(2)+(-1)^(2))=sqrt(6)`
`B=|b|=sqrt((1)^(2)+(-1)^(2))=sqrt(2)`
`A.B(2hati+hatj-hatk).(hati-hatk)`
`Now , cos theta=(A.B)/(AB)=(3)/(sqrt(6).sqrt(2))=(3)/(sqrt(12))=(sqrt(3))/(2)`
`thereforetheta=30^(@)`
Promotional Banner

Topper's Solved these Questions

  • BASIC MATHEMATICS

    DC PANDEY|Exercise Exercise|13 Videos
  • CALORIMETRY & HEAT TRANSFER

    DC PANDEY|Exercise Level 2 Subjective|14 Videos