Vector →a,→b,→c are three non-zero vectors such that (→a−→b).→c=0. Let →a×(→b×→c)+→b×(→c×→a)=(4+x2)→b−(4xcos2θ)→a, where →a and →b are non-collinear vectors and x>0,0<θ<10, then number of different vales of θ will be

Vector →a,→b,→c are three non-zero vectors such that (→a−�

1.	Vector →a,→b,→c are three non-zero vectors such that (→a−→b).→c=0. Let →a×(→b×→c)+→b×(→c×→a)=(4+x2)→b−(4xcos2θ)→a, where →a and →b are non-collinear vectors and x>0,0<θ<10, then number of different vales of θ will be
Answer» Vector $\to a, \to b, \to c$ are three non-zero vectors such that $(\to a - \to b) . \to c = 0.$ Let $\to a \times (\to b \times \to c) + \to b \times (\to c \times \to a) = (4 + x^{2}) \to b - (4 x {cos}^{2} θ) \to a,$ where $\to a$ and $\to b$ are non-collinear vectors and $x > 0, 0 < θ < 10,$ then number of different vales of $θ$ will be

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Vector →a,→b,→c are three non-zero vectors such that (→a−→b).→c=0. Let →a×(→b×→c)+→b×(→c×→a)=(4+x2)→b−(4xcos2θ)→a, where →a and →b are non-collinear vectors and x&gt;0,0&lt;θ&lt;10, then number of different vales of θ will be

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Vector →a,→b,→c are three non-zero vectors such that (→a−→b).→c=0. Let →a×(→b×→c)+→b×(→c×→a)=(4+x2)→b−(4xcos2θ)→a, where →a and →b are non-collinear vectors and x>0,0<θ<10, then number of different vales of θ will be