121406 The equation of the plane containing the line \(\frac{\mathbf{x}-\mathbf{x}_1}{\ell}=\frac{\mathbf{y}-\mathbf{y}_1}{\mathbf{m}}=\frac{\mathbf{z}-\mathbf{z}_1}{\mathbf{n}}\) is
\(\mathbf{a}\left(\mathbf{x}-\mathrm{x}_1\right)+\mathbf{b}\left(\mathbf{y}-\mathrm{y}_1\right)+\mathbf{c}\left(\mathbf{z}-\mathrm{z}_1\right)=\mathbf{0} .\)
Correct
option is

121407 Given the line \(L: \frac{x-1}{3}=\frac{y+1}{2}=\frac{z-3}{-1}\) and the plane \(\pi: x-2 y-z=0\). Of the following assertions, the only one that is always true is

121408 The equation of the right bisector plane of the segment joining \((2,3,4)\) and \((6,7,8)\) is

121409 Determine the plane through the intersection of the planes \(x+2 y+3 z-4=0\) and \(2 x+y-z+5\) \(=0\) and perpendicular to the plane \(5 x+3 y+6 z\) \(+8=0\)

121406 The equation of the plane containing the line \(\frac{\mathbf{x}-\mathbf{x}_1}{\ell}=\frac{\mathbf{y}-\mathbf{y}_1}{\mathbf{m}}=\frac{\mathbf{z}-\mathbf{z}_1}{\mathbf{n}}\) is
\(\mathbf{a}\left(\mathbf{x}-\mathrm{x}_1\right)+\mathbf{b}\left(\mathbf{y}-\mathrm{y}_1\right)+\mathbf{c}\left(\mathbf{z}-\mathrm{z}_1\right)=\mathbf{0} .\)
Correct
option is

121407 Given the line \(L: \frac{x-1}{3}=\frac{y+1}{2}=\frac{z-3}{-1}\) and the plane \(\pi: x-2 y-z=0\). Of the following assertions, the only one that is always true is

121408 The equation of the right bisector plane of the segment joining \((2,3,4)\) and \((6,7,8)\) is

121409 Determine the plane through the intersection of the planes \(x+2 y+3 z-4=0\) and \(2 x+y-z+5\) \(=0\) and perpendicular to the plane \(5 x+3 y+6 z\) \(+8=0\)

121406 The equation of the plane containing the line \(\frac{\mathbf{x}-\mathbf{x}_1}{\ell}=\frac{\mathbf{y}-\mathbf{y}_1}{\mathbf{m}}=\frac{\mathbf{z}-\mathbf{z}_1}{\mathbf{n}}\) is
\(\mathbf{a}\left(\mathbf{x}-\mathrm{x}_1\right)+\mathbf{b}\left(\mathbf{y}-\mathrm{y}_1\right)+\mathbf{c}\left(\mathbf{z}-\mathrm{z}_1\right)=\mathbf{0} .\)
Correct
option is

121407 Given the line \(L: \frac{x-1}{3}=\frac{y+1}{2}=\frac{z-3}{-1}\) and the plane \(\pi: x-2 y-z=0\). Of the following assertions, the only one that is always true is

121408 The equation of the right bisector plane of the segment joining \((2,3,4)\) and \((6,7,8)\) is

121409 Determine the plane through the intersection of the planes \(x+2 y+3 z-4=0\) and \(2 x+y-z+5\) \(=0\) and perpendicular to the plane \(5 x+3 y+6 z\) \(+8=0\)

121406 The equation of the plane containing the line \(\frac{\mathbf{x}-\mathbf{x}_1}{\ell}=\frac{\mathbf{y}-\mathbf{y}_1}{\mathbf{m}}=\frac{\mathbf{z}-\mathbf{z}_1}{\mathbf{n}}\) is
\(\mathbf{a}\left(\mathbf{x}-\mathrm{x}_1\right)+\mathbf{b}\left(\mathbf{y}-\mathrm{y}_1\right)+\mathbf{c}\left(\mathbf{z}-\mathrm{z}_1\right)=\mathbf{0} .\)
Correct
option is

121407 Given the line \(L: \frac{x-1}{3}=\frac{y+1}{2}=\frac{z-3}{-1}\) and the plane \(\pi: x-2 y-z=0\). Of the following assertions, the only one that is always true is

121408 The equation of the right bisector plane of the segment joining \((2,3,4)\) and \((6,7,8)\) is

121409 Determine the plane through the intersection of the planes \(x+2 y+3 z-4=0\) and \(2 x+y-z+5\) \(=0\) and perpendicular to the plane \(5 x+3 y+6 z\) \(+8=0\)