If $\alpha$ + $\beta$ + $\gamma$ = 2$\pi$, then the system of equations x + (cos $\gamma$)y + (cos $\beta$)z = 0(cos $\gamma$)x + y + (cos $\alpha$)z = 0(cos $\beta$)x + (cos $\alpha$)y + z = 0has :

Question

If $\alpha$ + $\beta$ + $\gamma$ = 2$\pi$, then the system of equations

x + (cos $\gamma$)y + (cos $\beta$)z = 0

(cos $\gamma$)x + y + (cos $\alpha$)z = 0

(cos $\beta$)x + (cos $\alpha$)y + z = 0

has :

no solution

infinitely many solution

exactly two solutions

a unique solution

Solution

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