A unit vector ` vec a` makes angles `pi/4\ a n d\ pi/3` with ` hat i\ a n d\ hat j` respectively and an acute angle `theta` with ` hat kdot` Find the angle `theta` and components of ` vec adot`

A unit vector vec r makes angle pi/3\ a n d\ pi/2 with hat j a n d\ hat k respectively and an acute angle theta\ w i t h\ i , Find thetadot

If a unit vector vec a makes angle pi//3 with hat i ,pi//4 with hat j and an acute angle theta with hat k , then find the components of vec a and the angle thetadot

If a unit vector vec a makes an angle pi/3 with hat i ,\ pi/4 with hat j and an acute angle theta with hat k then find theta and hence, the components of vec a .

If a unit vector vec a makes angles pi/3 with hat i ,pi/4 with hat j and an acute angle theta with hat k , then find the value of theta .

If a unit vector vec(a) makes a angle (pi)/(3) with hat(i), (pi)/(4) with hat(k) and an acute angle q with hat(j) then find the value of q.

If vec A=4 hat i+6 hat ja n d vec B=3 hat j+4 hat k , then find the component of vec AB

If a unit vector vec(a) makes angle (pi)/(3) with hat(i), (pi)/(4) with hat(j) and theta in ((pi)/(2), pi) with hat(k) then a value of theta is (k pi)/(l) (k and l are coprime). The value of k is _________.

If hat a , hat b ,a n d hat c are three unit vectors, such that hat a+ hat b+ hat c is also a unit vector and theta_1,theta_2a n dtheta_3 are angles between the vectors hat a , hat b ; hat b , hat ca n d hat c , hat a respectively, then among theta_1,theta_2,a n dtheta_3dot a. all are acute angles b. all are right angles c. at least one is obtuse angle d. none of these

In sub-parts (i) and (ii) choose the correct option and in sub-parts (iii) to (v), answer the questions as instructed. If a unit vector hat(a) makes angle pi/3 with hat(i), pi/3" with " hat(j) and an acute angle theta with k, then find theta .

Find vec adot vec b when: vec a= hat j- hat k\ a n d\ vec b=2 hat i+3 hat j-2 hat k