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 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 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 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 .

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 .

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

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 vec a=x hat i+(x-1) hat j+ hat k and vec b=(x+1) hat i+ hat j+a hat k make an acute angle AAx in R , then find the values of adot

Vector 1/3(2i-2j+k) is (A) a unit vector (B) makes an angle pi//3 with vector (2 hat i-4 hat j+3 hat k) (C) parallel to vector (- hat i+ hat j-1/2 hat k) (D) perpendicular to vector 3 hat i+2 hat j-2 hat k

Find a unit vector in XY plane, which makes an angle of 45^@ with the vector hat i +hat j and an angle of 60^@ with the vector 3hat i – 4hat j .