If the distance of the point \( P(1,-2,1) \) from the plane \( x+2 y-2 z=a \), where \( a0 \), i...

Channel:
Subscribers:
447,000
Published on ● Video Link: https://www.youtube.com/watch?v=hryOOoA-uQk



Duration: 5:15
1 views
0


If the distance of the point \( P(1,-2,1) \) from the plane \( x+2 y-2 z=a \), where \( a0 \), is 5 , then the foot of the perpendicular from \( P \) to the plane is
(a) \( \left(\frac{8}{3}, \frac{4}{3},-\frac{7}{3}\right) \)
(b) \( \left(\frac{4}{3},-\frac{4}{3}, \frac{1}{3}\right) \)
(c) \( \left(\frac{1}{3}, \frac{2}{3}, \frac{10}{3}\right) \)
(d) \( \left(\frac{2}{3},-\frac{1}{3}, \frac{5}{2}\right) \)
šŸ“²PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live




Other Videos By PW Solutions


2023-06-09The plane containing the two lines \( \frac{x-3}{1}=\frac{y-2}{-4}=\frac{z-1}{5} \) and \( \frac...
2023-06-09A variable plane at a distance of 1 unit from the origin cuts the co-ordinate axes at \( A, B \)...
2023-06-09Consider the line \( L_{1}: x=y=z \) and the line \( L_{2}: 2 x+y+z-1=0= \) \( 3 x+y+2 z-2 \), t...
2023-06-09The position vectors of the four angular points of a tetrahedron \( \mathrm{OABC} \) are \( (0,0...
2023-06-09Let \( O \) be the origin and \( \overrightarrow{O A}=2 \hat{i}+2 \hat{j}+\hat{k}, \overrightarr...
2023-06-09If plane \( 2 x+3 y+6 z+k=0 \) is tangent to the sphere \( x^{2}+y^{2} \) \( +z^{2}+2 x-2 y+2 z-...
2023-06-09A plane passes through \( (1,-2,1) \) and is perpendicular to two planes \( 2 x-2 y+z=0 \) and \...
2023-06-09If the projection of the line \( \frac{x}{2}=\frac{y-1}{2}=\frac{z-1}{1} \) on a plane \( P \) i...
2023-06-09Eqution of the plane containing the straight line \( \frac{x}{2}=\frac{y}{2}=\frac{z}{2} \) and ...
2023-06-09Let \( P(3,2,6) \) be a point in space and \( Q \) be a point on the line \( \vec{r}=(\hat{i}-\h...
2023-06-09If the distance of the point \( P(1,-2,1) \) from the plane \( x+2 y-2 z=a \), where \( a0 \), i...
2023-06-09The equation of a plane through the line of intersection of \( 2 x+3 y+z-1=0 \) and \( x+5 y-2 z...
2023-06-09The line \( \frac{x}{k}=\frac{y}{2}=\frac{z}{-12} \) makes an isosceles triangle with the planes...
2023-06-09A line with direction cosines proportionate to \( \langle 2,7,-5 \) is drawn to inersect straigh...
2023-06-09Let \( \vec{u} \) and \( \vec{v} \) be unit vectors. If \( \vec{w} \) is a vector such that \( \...
2023-06-09The direction consines \( \ell, m, n \) of two lines are conected by the relation \( \ell+m+n=0,...
2023-06-09The shortest distance from \( (1,1,1) \) to the line of intersection of the pair of plane \( x y...
2023-06-09Let \( \hat{i}, \hat{j} \) and \( \hat{k} \) be the unit vectors along the three positive coordi...
2023-06-09Equatin of plane containing the two parallel lines. \( \frac{x+1}{3}=\frac{y-2}{2}=\frac{z}{1} \...
2023-06-09\( \vec{p}, \vec{q} \), and \( \vec{r} \) are three mutually perpendicular vectors of the same m...
2023-06-09Let \( \hat{x}, \hat{y} \) and \( \hat{z} \) and be unit vectors such that \( \hat{x}+\hat{y}+\h...