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FM 9B Part 1 3D Planes Introduction

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Total marks: 0

×Question 11234
The plane $Π$ passes through the point $A (2, 1, 1)$ , $B (2, 5, 1)$ and $C (3, 1, 2)$ .

Select the correct equation of the plane $Π$ .
$r = (\begin{matrix} 2 \\ 1 \\ 1 \end{matrix}) + λ (\begin{matrix} 0 \\ 4 \\ 0 \end{matrix}) + μ (\begin{matrix} 1 \\ 0 \\ 1 \end{matrix})$
$r = (\begin{matrix} 2 \\ 1 \\ 1 \end{matrix}) + λ (\begin{matrix} 0 \\ 4 \\ 0 \end{matrix}) + μ (\begin{matrix} 1 \\ 0 \\ - 1 \end{matrix})$
Report Error
×Question 21234
The plane $Π$ passes through the point $A (6, 0, 2)$ , $B (3, 1, 2)$ and $C (2, 2, 1)$ .

Select the correct equation of the plane $Π$ .
$r = 6 i + 2 j + λ (3 i + j + 2 k) + μ (2 i + 2 j + k)$
$r = 6 i + 2 j + λ (- 3 i + j) + μ (- 4 i + 2 j - k)$
Report Error
×Question 31234
The plane $Π$ passes through the point $A (6, - 1, 2)$ , $B (2, 5, - 1)$ and $C (1, 1, 0)$ .

Select the correct equation of the plane $Π$ .
$r = (\begin{matrix} 6 \\ - 1 \\ 2 \end{matrix}) + λ (\begin{matrix} - 4 \\ 6 \\ - 3 \end{matrix}) + μ (\begin{matrix} - 5 \\ 2 \\ - 2 \end{matrix})$
$r = (\begin{matrix} 6 \\ - 1 \\ 2 \end{matrix}) + λ (\begin{matrix} 2 \\ 5 \\ - 1 \end{matrix}) + μ (\begin{matrix} 1 \\ 1 \\ 0 \end{matrix})$
Report Error
×Question 41234
The plane $Π$ passes through the point $A (2, 1, 3)$ , $B (3, 2, 4)$ and $C (2, 3, 4)$ .

Select the correct equation of the plane $Π$ .
$r = 2 i + j + 3 k + λ (i + j + k) + μ (2 j + k)$
$r = 2 i + j + 3 k + λ (3 i + 2 j + 4 k) + μ (2 i + 3 j + 4 k)$
Report Error
×Question 51234
The plane $Π$ passes through the point $A (3, 1, 1)$ , $B (2, 1, 2)$ and $C (3, 1, 2)$ .

Select the correct equation of the plane $Π$ .
$r = (\begin{matrix} 3 \\ 1 \\ 1 \end{matrix}) + λ (\begin{matrix} 2 \\ 1 \\ 2 \end{matrix}) + μ (\begin{matrix} 3 \\ 1 \\ 2 \end{matrix})$
$r = (\begin{matrix} 3 \\ 1 \\ 1 \end{matrix}) + λ (\begin{matrix} - 1 \\ 0 \\ 1 \end{matrix}) + μ (\begin{matrix} 0 \\ 0 \\ 1 \end{matrix})$
Report Error
×Question 61234
The plane $Π$ passes through the point $A (2, 0, 1)$ , $B (1, 0, 2)$ and $C (0, 1, 2)$ .

Select the correct equation of the plane $Π$ .
$r = (\begin{matrix} 2 \\ 0 \\ 1 \end{matrix}) + λ (\begin{matrix} - 1 \\ 0 \\ 1 \end{matrix}) + μ (\begin{matrix} - 2 \\ 1 \\ 1 \end{matrix})$
$r = (\begin{matrix} 2 \\ 0 \\ 1 \end{matrix}) + λ (\begin{matrix} 1 \\ 0 \\ 2 \end{matrix}) + μ (\begin{matrix} 0 \\ 1 \\ 2 \end{matrix})$
Report Error
×Question 71234
The plane $Π$ passes through the point $A (6, - 1, 2)$ , $B (3, 2, 1)$ and $C (4, 5, 3)$ .

Select the correct equation of the plane $Π$ .
$r = (\begin{matrix} 6 \\ - 1 \\ 2 \end{matrix}) + λ (\begin{matrix} - 3 \\ 3 \\ - 1 \end{matrix}) + μ (\begin{matrix} - 2 \\ 6 \\ 1 \end{matrix})$
$r = (\begin{matrix} 6 \\ - 1 \\ 2 \end{matrix}) + λ (\begin{matrix} 3 \\ 2 \\ 1 \end{matrix}) + μ (\begin{matrix} 4 \\ 5 \\ 3 \end{matrix})$
Report Error
×Question 81234
The plane $Π$ passes through the point $A (4, 2, 1)$ , $B (5, 3, 1)$ and $C (2, 3, - 1)$ .

Select the correct equation of the plane $Π$ .
$r = (\begin{matrix} 4 \\ 2 \\ 1 \end{matrix}) + λ (\begin{matrix} 1 \\ 1 \\ 0 \end{matrix}) + μ (\begin{matrix} - 2 \\ 1 \\ - 2 \end{matrix})$
$r = (\begin{matrix} 4 \\ 2 \\ 1 \end{matrix}) + λ (\begin{matrix} 5 \\ 3 \\ 1 \end{matrix}) + μ (\begin{matrix} 2 \\ 3 \\ - 1 \end{matrix})$
Report Error
×Question 91234
The plane $Π$ passes through the point $A (1, 1, 3)$ , $B (4, 1, 2)$ and $C (1, 5, 1)$ .

Select the correct equation of the plane $Π$ .
$r = (\begin{matrix} 1 \\ 1 \\ 3 \end{matrix}) + λ (\begin{matrix} 4 \\ 1 \\ 2 \end{matrix}) + μ (\begin{matrix} 1 \\ 5 \\ 1 \end{matrix})$
$r = (\begin{matrix} 1 \\ 1 \\ 3 \end{matrix}) + λ (\begin{matrix} 3 \\ 0 \\ - 1 \end{matrix}) + μ (\begin{matrix} 0 \\ 4 \\ 2 \end{matrix})$
Report Error
×Question 101234
The plane $Π$ passes through the point $A (- 4, - 1, - 2)$ , $B (0, 1, - 2)$ and $C (1, 2, 4)$ .

Select the correct equation of the plane $Π$ .
$r = (\begin{matrix} - 4 \\ - 1 \\ - 2 \end{matrix}) + λ (\begin{matrix} - 4 \\ 2 \\ 0 \end{matrix}) + μ (\begin{matrix} - 3 \\ 3 \\ 6 \end{matrix})$
$r = (\begin{matrix} - 4 \\ - 1 \\ - 2 \end{matrix}) + λ (\begin{matrix} 4 \\ 2 \\ 0 \end{matrix}) + μ (\begin{matrix} 5 \\ 3 \\ 6 \end{matrix})$
Report Error