[" The plane "2x-2y+z=3" is rotated about the line where it cuts the xy plane "],[" by an acute angle a.If the new position of plane contains the point "(3,1,1)],[" then "9cos alpha" is equal to "]

The plane 2x-2y+z=3 is rotated about its line of intersection with the xy -plane by an acute angle alpha .If the new position of the plane contains the point (3,1,1) ,then the value of cos alpha is equal to

The plane x+2y+3z=7 is rotated about the line where it cut y z -plane by an angle theta . In the new position the plane contains the point (-1,0,2)dot Then theta a.cos^(-1)1/7 b. cos^(-1)6/7 c. cos^(-1)(5/7) d. pi/2

The plane x+2y+3z=7 is rotated about the line where it cut y z -plane by an angle theta . In the new position the plane contains the point (-1,0,2)dot Then theta a. cos^(-1)1/7 b. cos^(-1)6/7 c. cos^(-1)(5/7) d. pi/2

If the plane x+y+z=1 is rotated through 90^(@) about its line of intersection with the plane x-2y+3z=0, the new position of the plane is

If the plane pi_(1):x+y+z+2=0 is rotated 90^(@) about the line intersection with the plane pi_(2):2x+y-z+1=0 , then find the equation of plane in new position ?

If the plane x + y + z =1 is routated through an angle 90^(@) about its line of intersection with the plane x - 2y + 3z =0, then the new position of the plane is

The plane x-y-z=4 is rotated through an angle 90^(@) about its line of intersection with the plane x+y+2z=4 . Then the equation of the plane in its new position is

The plane x-y-z=4 is rotated through an angle 90^(@) about its line of intersection with the plane x+y+2z=4 . Then the equation of the plane in its new position is