If the points whose position, vectors are \[3\mathbf{i}-2\mathbf{j}-\mathbf{k},\] \[2\mathbf{i}+3\mathbf{j}-4\mathbf{k},\] \[-\mathbf{i}+\mathbf{j}+2\mathbf{k}\]and \[4\mathbf{i}+5\mathbf{j}+\lambda \mathbf{k}\] lie on a plane, then \[\lambda =\] [IIT 1986; Pb. CET 2003]

If the points whose position, vectors are \[3\mathbf{i}-2\mathbf{j}-\m

1.	If the points whose position, vectors are \[3\mathbf{i}-2\mathbf{j}-\mathbf{k},\] \[2\mathbf{i}+3\mathbf{j}-4\mathbf{k},\] \[-\mathbf{i}+\mathbf{j}+2\mathbf{k}\]and \[4\mathbf{i}+5\mathbf{j}+\lambda \mathbf{k}\] lie on a plane, then \[\lambda =\] [IIT 1986; Pb. CET 2003]
A.	\[-\frac{146}{17}\]
B.	\[\frac{146}{17}\]
C.	\[-\frac{17}{146}\]
D.	\[\frac{17}{146}\]
Answer» B. \[\frac{146}{17}\]

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If the points whose position, vectors are \[3\mathbf{i}-2\mathbf{j}-\mathbf{k},\] \[2\mathbf{i}+3\mathbf{j}-4\mathbf{k},\] \[-\mathbf{i}+\mathbf{j}+2\mathbf{k}\]and \[4\mathbf{i}+5\mathbf{j}+\lambda \mathbf{k}\] lie on a plane, then \[\lambda =\] [IIT 1986; Pb. CET 2003]

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