Question

if the coordinates of the points p and q be( - 1,2,2) and (2,-2, - 1) respectively find angle poq​

Answer 1

Cartesian equation of line joining point P and O is

x+1/(0+1) = y-2/(0-2) = z-2/(0-2)

=> (x+1)/1 = (y-2)/(-2) = (z-2)/(-2)

The numbers in the denominator are the direction ratios.

Similarly, you can find the equation of the line joining O and Q in the cartesian form which give you the direction ratios of the line

Angle between two lines is given by

θ = cos⁻¹[a₁a₂+b₁b₂+c₁c₂/{√(a₁²+b₁²+c₁²)×√(a₂²+b₂²+c₂²)}]

where a₁,b₁,c₁ and a₂,b₂,c₂ are the direction ratios of the two lines

Using this method you can find the angle ∠POQ

Mark my answer as Brainliest

Follow me if I was helpful, you can ask me your math queries without any hesitation :)