Home
Class 12
MATHS
If hata, hatb and hatc are non-coplanar...

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` .

Text Solution

Verified by Experts

The correct Answer is:
1
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • VECTOR & 3DIMENSIONAL GEOMETRY

    VK JAISWAL ENGLISH|Exercise Exercise-3 : Comprehension Type Problems|13 Videos

  • TRIGONOMETRIC EQUATIONS

    VK JAISWAL ENGLISH|Exercise Exercise-5 : Subjective Type Problems|9 Videos

Similar Questions

Explore conceptually related problems

Let hata, hatb and hatc be three unit vectors such that hata=hatb+(hatb xx hatc) , then the possible value(s) of |hata+hatb+hatc|^(2) can be :

If hata,hatb and hatc are three unit vectors such that hata + hatb + hatc is also a unit vector and theta_(1),theta_(2) and theta_(3) are angles between the vectors hata,hatb,hatb,hatc and hatc,hata, respectively m then among theta _(1),theta_(2)and theta_(3)

Let hat a , hat b , hatc be unit vectors such that hat a * hatb =hat a *hatc =0 and the angle between hat b and hat c be (pi)/(6) prove that hat a =+- 2 (hatb xx hat c )

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 hata" and "hatb are non-collinear unit vectors and if |hata+hatb|=sqrt(3) , then the value of (2hata-5hatb).(3hata+hatb) is :-

If hat a and hatb are two unit vectors inclined at an angle theta , then sin(theta/2)

If hata,hatb and hatc are three unit vectors inclined to each other at an angle theta . The maximum value of theta is

if hata, hatb and hatc are unit vectors. Then |hata - hatb|^(2) + |hatb - hatc|^(2) + | vecc -veca|^(2) does not exceed

hata, hatb and hata-hatb are unit vectors. The volume of the parallelopiped, formed with hata, hatb and hata xx hatb as coterminous edges is :

If hata and hatb are unit vectors then the vector defined as vecV=(hata xx hatb) xx (hata+hatb) is collinear to the vector :

Home
Profile