Posted by **j** on Thursday, May 17, 2012 at 9:19am.

determine the angle between the planes 2x + 2y + 7z = 8 and 3x - 4y + 4z = 5

- Calculus -
**Reiny**, Thursday, May 17, 2012 at 9:42am
let Ø be the angle between their normals

(2,2,7)∘(3,-4,4) = √57√41cosØ

cosØ = (6 - 8 + 28)/(√57√41)

Ø = appr. 57.5°

so the two planes form an angle of 180-57.5 or 122.5°

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