Home
Class 12
MATHS
Let g(theta) =int(-(hat a,hat b)^2)^(|ha...

Let `g(theta) =int_(-(hat a,hat b)^2)^(|hat a xx hat b|^2)(2t+1)dt`, where `theta` is the angle between `hat a and hat b`. If volume of the parallelopinea whose coterminous edges are represented by vectors `hat a,hat a xx hat b and hat a xx (hat a xx hat b)` (where angle between `hat a and hat b` is taken from the equation `2g(theta) – 1 = 0)`, is `p/q` then find the least value of `(p + q)`.

Promotional Banner

Similar Questions

Explore conceptually related problems

Find the volume of the Parallelopiped whose coterminous edges are represented by the vectors vec a = 2 hat i- 3 hat j + 4 hat k, vec b= hat i +2 hat j- hat k and vec c = 3 hat i -hat j +2 hat k .

Find the volume of the parallelepiped whose coterminous edges are represented by the vector: vec a=2 hat i+3 hat j+4 hat k ,\ vec b= hat i+2 hat j- hat k ,\ vec c=3 hat i- hat j+2 hat k .

Find the volume of the parallelepiped whose coterminous edges are represented by the vector: vec a=2 hat i-3 hat j+4 hat k ,\ vec b= hat i+2 hat j- hat k ,\ vec c=3 hat i- hat j-2 hat k .

The vectors hat A and hat B are such that |hat A+hat B|=|hat A-hat B| .The angle between the two vectors is

If theta is the angle between the unit vectors hat a and hat b then cos (theta/2) is equal to

Find angle theta between the vectors vec a = hat i + hat j - hat k and vec b = hat i - hat j + hat k .

Find angle theta between the vectors vec a = hat i+ hat j- hat k and vec b= hat i- hat j + hat k

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

If hat(a) and hat(b) are unit vectors such that (hat(a) + hat(b)) is a unit vector, what is the angle between hat(a) and hat(b) ?

If hat(a) and hat(b) are unit vectors such that (hat(a) + hat(b)) is a unit vector, what is the angle between hat(a) and hat(b) ?