Let \[\vec{a}\cdot \vec{b}=0\] where \[\vec{a}\] and \[\vec{b}\] are unit vectors and the unit vector \[\vec{c}\] is inclined at an angle \[\theta \] to both \[\vec{a}\] and \[\vec{b}\]. If \[\vec{c}=m\vec{a}+n\vec{b}+p(\vec{a}\times \vec{b}),(m,n,p\in R)\], then

\[0\le \theta \le \frac{\pi }{4}\]

\[-\frac{\pi }{4}\le \theta \le \frac{\pi }{4}\]

\[\frac{\pi }{4}\le \theta \le \frac{3\pi }{4}\]

\[0\le \theta \le \frac{3\pi }{4}\]

Let \[\vec{a}\cdot \vec{b}=0\] where \[\vec{a}\] and \[\vec{b}\] are u

1.	Let \[\vec{a}\cdot \vec{b}=0\] where \[\vec{a}\] and \[\vec{b}\] are unit vectors and the unit vector \[\vec{c}\] is inclined at an angle \[\theta \] to both \[\vec{a}\] and \[\vec{b}\]. If \[\vec{c}=m\vec{a}+n\vec{b}+p(\vec{a}\times \vec{b}),(m,n,p\in R)\], then
A.	\[-\frac{\pi }{4}\le \theta \le \frac{\pi }{4}\]
B.	\[\frac{\pi }{4}\le \theta \le \frac{3\pi }{4}\]
C.	\[0\le \theta \le \frac{\pi }{4}\]
D.	\[0\le \theta \le \frac{3\pi }{4}\]
Answer» C. \[0\le \theta \le \frac{\pi }{4}\]

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Let \[\vec{a}\cdot \vec{b}=0\] where \[\vec{a}\] and \[\vec{b}\] are unit vectors and the unit vector \[\vec{c}\] is inclined at an angle \[\theta \] to both \[\vec{a}\] and \[\vec{b}\]. If \[\vec{c}=m\vec{a}+n\vec{b}+p(\vec{a}\times \vec{b}),(m,n,p\in R)\], then

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