Home
Class 11
PHYSICS
If |hata+hatb|=|hata-hatb|, then find th...

If `|hata+hatb|=|hata-hatb|`, then find the angle between `veca and vecb`

Text Solution

Verified by Experts

Let angle between `veca and vecb` be `theta" "because |hata+hatb|=|hata-hatb|" "therefore sqrt(1^(2) + 1^(2) + 2(1)(1) cos theta )= sqrt (1^(2) + 1^(2) - 2(1)(1) cos theta )`
`rArr" "2+2 cos theta = 2-2 cos theta rArr cos theta =0 therefore theta = 90^(@)`
Promotional Banner

Topper's Solved these Questions

  • BASIC MATHEMATICS USED IN PHYSICS &VECTORS

    ALLEN|Exercise BEGINNER S BOX 1|2 Videos
  • BASIC MATHEMATICS USED IN PHYSICS &VECTORS

    ALLEN|Exercise BEGINNER S BOX 2|3 Videos
  • CENTRE OF MASS

    ALLEN|Exercise EXERCISE-V B|19 Videos

Similar Questions

Explore conceptually related problems

If veca +vecb +vecc=0, |veca|=3,|vecb|=5, |vecc|=7 , then find the angle between veca and vecb .

If veca +vecb +vecc=0, |veca|=3,|vecb|=5, |vecc|=7 , then find the angle between veca and vecb .

If |veca - vecb|=|veca| =|vecb|=1 , then the angle between veca and vecb , is

If |veca.vecb|= |veca xx vecb| , then the angle between veca and vecb is

If vector (hata+ 2hatb) is perpendicular to vector (5hata-4hatb) , then find the angle between hata and hatb .

If |veca|+|vecb|=|vecc|and veca+vecb=vecc then find the angle between veca and vecb .

If |veca|=|vecb|=|vecc|and veca+vecb=vecc then find the angle between veca and vecb .

If hata, hatb, hatc are three units vectors such that hatb and hatc are non-parallel and hataxx(hatbxxhatc)=1//2hatb then the angle between hata and hatc is

If hat a and hat b are unit vectors such that [ hata hatb hatatimeshatb ]= (1)/(4) ,then the angle between hat a and hat b ,is equal to