A line makes angles alpha beeta gama and delta with the diagnols of a cube, prove cos2 alpha+ cos2 beeta+cos2 - Maths - Three Dimensional Geometry

Question

A line makes angles alpha beeta gama and delta with the diagnols
of a cube, prove
cos2 alpha+ cos2 beeta+cos2
gama+cos2 delta = 4/3 refer to example number 26th of
ncert page 494 is there any easy way of solving this question i
think it is very important from boards point of view please
help

Ajanta Trivedi · Accepted Answer

A line makes angles alpha beeta gama and delta with the diagnols of a cube, prove cos2 alpha+ cos2 beeta+cos2 gama+cos2 delta = 4/3.refer to example number 26th of ncert page 494.is there any easy way of solving this question. i think it is very important from boards point of view. please help

A line makes angles alpha beeta gama and delta with the diagnols of a cube, prove

cos² alpha+ cos²beeta+cos²gama+cos²delta = 4/3.refer to example number 26th of ncert page 494.is there any easy way of solving this question. i think it is very important from boards point of view. please help