यदि `|hata+hatb|=|hata-hatb|`, तब दिखाइये कि सदिश `hata` तथा `hatb` लम्बवत है।

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

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

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

If hata.hatb=1/2 then what is the angle between hata and hatb ?

If hata, hatb and hatc are non-coplanar unti vectors such that [hata hatb hatc]=[hatb xx hatc" "hatc xx hata" "hata xx hatb] , then find the projection of hatb+hatc on hata xx hatb .

If hata, hatb and hatc are non-coplanar unti vectors such that [hata hatb hatc]=[hatb xx hatc" "hatc xx hata" "hata xx hatb] , then find the projection of hatb+hatc on hata xx hatb .

If |hata-hatb|= sqrt2 then calculate the value of |hata+sqrt3hatb| .

If |hata-hatb|= sqrt2 then calculate the value of |hata-sqrt3hatb| .

Lelt two non collinear unit vectors hata and hatb form and acute angle. A point P moves so that at any time t the position vector vec(OP) (where O is the origin) is given by hatacost+hatbsint. When P is farthest from origin O, let M be the length of vec(OP) and hatu be the unit vector along vec(OP) Then (A) hatu= (hata+hatb)/(|hata+hatb|) and M=(1+hata.hatb)^(1/2) (B) hatu= (hata-hatb)/(|hata-hatb|) and M=(1+hata.hatb)^(1/2) (C) hatu= (hata+hatb)/(|hata+hatb|) and M=(1+2hata.hatb)^(1/2) (D) hatu= (hata-hatb)/(|hata-hatb|) and M=(1+2hata.hatb)^(1/2)

Lelt two non collinear unit vectors hata and hatb form and acute angle. A point P moves so that at any time t the position vector vec(OP) (where O is the origin) is given by hatacost+hatbsint. When P is farthest from origin O, let M be the length of vec(OP) and hatu be the unit vector along vec(OP) Then (A) hatu= (hata+hatb)/(|hata+hatb|) and M=(1+hata.hatb)^(1/2) (B) hatu= (hata-hatb)/(|hata-hatb|) and M=(1+hata.hatb)^(1/2) (C) hatu= (hata+hatb)/(|hata+hatb|) and M=(1+2hata.hatb)^(1/2) (D) hatu= (hata-hatb)/(|hata-hatb|) and M=(1+2hata.hatb)^(1/2)