Questions in vectors-m

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	If the position vectors of three points $A,B$ and $C$ are respectively i + j + k, 2i + 3j – 4k and 7i + 4j + 9k, then the unit vector to the plane containing the triangle $ABC$ is
	If a, b, c are position vector of vertices of a triangle $ABC$, then unit vector perpendicular to its plane is
	If $\theta $ is the angle between the vectors a and b, then $\frac{\|a\times b\|}{\|a\,.\,b\|}$ equal to
	If the vectors $\mathbf{a},\,\mathbf{b}$ and c are represented by the sides $BC,\,CA$ and $AB$ respectively of the $\Delta ABC$, then
	A vector perpendicular to both of the vectors $i+j+k$ and $i+j$ is
	A unit vector perpendicular to the plane of $a=2i-6j-3k$, $b=4i+3j-k$ is
	The unit vector perpendicular to both the vectors i – 2j + 3k and i + 2j – k is
	The unit vector perpendicular to the vectors $\mathbf{i}-\mathbf{j}+\mathbf{k}$ and $2\mathbf{i}+3\mathbf{j}-\mathbf{k}$ is
	If $\mathbf{a}=2\mathbf{i}-3\,\mathbf{j}-\mathbf{k}$ and $\mathbf{b}=\mathbf{i}+4\mathbf{j}-2\mathbf{k}$, then $\mathbf{a}\times \mathbf{b}$ is
	If $\|\mathbf{a}\|\,=4,\,\|\mathbf{b}\|\,=2$ and the angle between a and b is $\frac{\pi }{6}$, then ${{(\mathbf{a}\times \mathbf{b})}^{2}}$ is equal to