A vector ` vec r\ ` is inclined to x-axis at `45^0` and y-axis at `60^0dot` If `| vec r|=8` units, find ` vec rdot`

A vector vecr is inclined to x-axis at 45^(@) and to y-axis at 60^(@) . If |vecr|=8 units find vecr .

A vector vec r is inclined at equal acute angles of x-axis , y-axi s and z-a xi sdot if | vec r|=6 units, find vec rdot

A vector vec n of magnitude 8 units is inclined to x-axis at 45^0 , y-axis at 60^0 and an acute angle with z-axis. If a plane passes through a point (sqrt(2),-1,1) and is normal to vec n , find its equation in vector form.

A vector vec O P is inclined to O X at 45^0 and O Y at 60^0 . Find the angle at which vec O P is inclined to O Zdot

A vector vec r is inclined at equal to O X ,O Ya n dO Zdot If the magnitude of vec r is 6 units, find vec rdot

A vector vec O P is inclined to O X at 50^0 and O Y at 60^0 . Find the angle at which vec O P is inclined to O Zdot

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| .

Find the position vector of a point A in space such that vec O A is inclined at 60^0toO X and at 45^0toO Ya n d| vec O A|=10u n i t sdot

A vector vec d is equally inclined to three vectors vec a= hat i+ hat j+ hat k , vec b=2 hat i+ hat ja n d vec c=3 hat j-2 hat kdot Let vec x , vec y ,a n d vec z be three vectors in the plane of vec a , vec b ; vec b , vec c ; vec c , vec a , respectively. Then a. vec x. vec d=-1 b. vec y. vec d=1 c. vec z. vec d=0 d. vec r. vec d=0,w h e r e vec r=lambda vec x+mu vec y+delta vec z

If vec a\ a n d\ vec b are two vectors of the same magnitude inclined at an angle of \ 60^0 such that vec adot vec b=8 write the value of their magnitude.