Home
Class 12
MATHS
Unit vectors vec a and vec b are perpen...

Unit vectors ` vec a and vec b` are perpendicular, and unit vector ` vec c` is inclined at angle `theta` to both ` vec a and vec bdot` If ` vec c = alpha vec a+beta vec b+gamma( vec axx vec b),` then `a=beta` b. `gamma^1=1-2alpha^2` c. `gamma^2=-cos2theta` d. `beta^2=(1+cos2theta)/2`

Text Solution

AI Generated Solution

Promotional Banner

Similar Questions

Explore conceptually related problems

If vec a , vec b , vec c are mutually perpendicular unit vectors, find |2 vec a+ vec b+ vec c|dot

If vec(a) and vec(b) are unit vectors inclined at an angle alpha , then the value of | vec(a) - vec(b)| is

If vec a\ a n d\ vec b are unit vectors such that vec axx vec b is also a unit vector, find the angle between vec a\ a n d\ vec bdot

If vec a\ a n d\ vec b are unit vectors inclined at an angle theta then the value of | vec a- vec b| is a. 2sin(theta/2) b. 2sintheta c. 2cos(theta/2) d. 2\ cos theta

If vec(a) and vec(b) are the unit vectors and theta is the angle between them, then vec(a) + vec(b) is a unit vector if

If vec a ,\ vec b ,\ vec c are unit vectors such that vec a+ vec b+ vec c= vec0 find the value of vec adot vec b+ vec bdot vec c+ vec cdot vec adot'

If vec aa n d vec b are two unit vectors incline at angle pi//3 , then { vec axx( vec b+ vec axx vec b)}dot vec b is equal to (-3)/4 b. 1/4 c. 3/4 d. 1/2

If vec a\ a n d\ vec b are two vectors such that | vec a|=| vec axx vec b|, write the angle between vec a\ a n d\ vec bdot

The vector equation of the plane passing through vec a ,\ vec b , vec c\ i s\ vec r=alpha vec a+beta vec b+gamma vec c provided that a. alpha+beta+gamma=0 b. alpha+beta+gamma=1 c. alpha+beta=gamma d. alpha^2+beta^2+gamma^2=1

If vec a and vec b are unit Vectors, then what is the angle between vec a and vec b so that sqrt(2) vec a- vec b is a unit vector?