A line \( L \) passing through the point \( P(1,4,3) \), is perpendicular to both the lines \( \....

Channel:
Subscribers:
449,000
Published on ● Video Link: https://www.youtube.com/watch?v=jpSEO1VSdL8



Duration: 7:22
1 views
0


A line \( L \) passing through the point \( P(1,4,3) \), is
\( \mathrm{P} \)
perpendicular to both the lines
\( \frac{x-1}{2}=\frac{y+3}{1}=\frac{z-2}{4} \) and \( \frac{x+2}{3}=\frac{y-4}{2}=\frac{z+1}{-2} \)
If the position vector of point \( Q \) on \( L \) is \( \left(a_{1}, a_{2}, a_{3}\right) \) such that \( (P Q)^{2}=357 \), then \( \left(a_{1}+a_{2}+a_{3}\right) \) can be:
(1) 16
(2) 15
(3) 2
(4) 1
.


📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live




Other Videos By PW Solutions


2024-01-21Match the column: \begin{tabular}{|l|l|l|l|} \hline & Column I & & Column II \\ \hline(1) & \( \....
2024-01-21Equation of the line through the point \( (1,1,1) \) and intersecting the line W. \( 2 x-y-z-2=0....
2024-01-21Copper is the most nobel of the first row transition metals and occurs in small deposits in seve....
2024-01-21Which is not the correct statement?....
2024-01-21\( \mathrm{Ca}_{3}\left(\mathrm{PO}_{4}\right)_{2} \) is :-....
2024-01-21Let \( P_{1}: 2 x+y-z=3 \) and \( P_{2}: x+2 y+z=2 \) be two planes. Then, which of the followin....
2024-01-21Bauxite is leached with :....
2024-01-21Equation of the line of the shortest distance between the lines \( \frac{x}{2}=\frac{y}{-3}=\fra....
2024-01-21Which of the following factors is of no significance for roasting sulphide ores to the oxides an....
2024-01-21The reason, for floating of ore particles in concentration by froth floatation process is that :....
2024-01-21A line \( L \) passing through the point \( P(1,4,3) \), is perpendicular to both the lines \( \....
2024-01-21If \( y(x) \) satisfies the differential equation \( (1+x) \frac{d y}{d x}+1=e^{x-y} \) and \( y....
2024-01-21A point at a distance of \( \sqrt{6} \) from the origin which lies on the straight line \( \frac....
2024-01-21Let \( y=f(x) \) satisfies the equation \( f(x)=\left(e^{-x}+e^{x}\right) \cos x-2 x-\int_{0}^{x....
2024-01-21If the foot of the perpendicular from \( (0,0,0) \) to a plane is \( (1,2,2) \), then the equati....
2024-01-21A plane passes through the point \( P(4,0,0) \) and \( Q(0,0,4) \) and is parallel to the \( y \....
2024-01-21The equation of the plane which is at a distance \( 3 \sqrt{3} \) units from origin and the norm....
2024-01-21The length of the perpendicular from \( (1,6,3) \) to the line \( \frac{x}{1}=\frac{y-1}{2}=\fra....
2024-01-21Match the differential equations given under List I with their respective solutions given under ....
2024-01-21The intercepts of the plane \( 2 x-3 y+5 z-30=0 \) are:....
2024-01-21Let \( y(x) \) be a function satisfying \( \frac{d^{2} y}{d x^{2}}-\frac{d y}{d x}+e^{2 x}=0 \),....