If `\ vec a\ a n d\ vec b` are two unit vectors inclined at an angle `theta` such that `|a+b|,1,` then `theta(2pi)/3` c. `pi/3

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

If hat a , hat b ,a n d hat c are three unit vectors inclined to each other at angle theta, then the maximum value of theta is pi/3 b. pi/4 c. (2pi)/3 d. (5pi)/6

Let vec a* vec b=0,w h e r e vec aa n d vec b are unit vectors and the unit vector vec c is inclined at an angle theta to both vec aa n d vec bdot If vec c=m vec a+n vec b+p( vec axx vec b),(m ,n , p in R), then a. -pi/4lt=thetalt=pi/4 b. pi/4lt=thetalt=(3pi)/4 c. 0lt=thetalt=pi/4 d. 0lt=thetalt=(3pi)/4

If unit vectors vec aa n d vec b are inclined at angle 2theta such that | vec a- vec b|<1a n d0lt=thetalt=pi,t h e ntheta lies in interval a. [0,pi//6] b. [5pi//6,pi] c. [pi//6,pi//2] d. [pi//2,5pi//6]

If vec(e_(1)) and vec(e_(2)) are two unit vectors and theta is the angle between them, then sin (theta/2) is:

Statement 1: If vec ua n d vec v are unit vectors inclined at an angle alphaa n d vec x is a unit vector bisecting the angle between them, then vec x=( vec u+ vec v)//(2sin(alpha//2)dot Statement 2: If "Delta"A B C is an isosceles triangle with A B=A C=1, then the vector representing the bisector of angel A is given by vec A D=( vec A B+ vec A C)//2.

If vec a\ a n d\ vec b are two vectors of the same magnitude inclined at angle of 30^0 such that vec adot vec b=3,\ evaluate \ | vec a|,\ | vec b|

Let vec a\ a n d\ vec b be two unit vectors and alpha be the angle between them, then vec a+ vec b is a unit vectors, if

If vec a and vec b are two vectors of the same magnitude inclined at an angle of 30^0 such that vec adot vec b=3, find | vec a|,| vec b| .