The angle between the line x+1 2 = y-2 1 = z-3 -2 and plane x-2 y- z=3 is ⁻¹ ( 2 2 3 ) , then value of is

Step-by-step solution

The acute angle between line a + b and the plane r n = p is given by = | b n | b n | | Here, b =2 i + j -2 k and n = i -2 j - k Also, = ⁻¹ ( 2 2 3 )= ⁻¹ ( 1 3 ) aligned & (i) ( ⁻¹ ( 1 3 ) )= | 2-2+2 4+1+4 1+4+ ^2 | & 1 3 = | 2 3 5+ ^2 | & 5+ ^2=4 ^2 & ^2= 5 3 & = 5 3 aligned