Find the image of the point (1, 3, 4) in...

Find the image of the point (1, 3, 4) in the plane `vecr.(2hati-hatj+hatk)+3=0`

Text Solution

Verified by Experts

The correct Answer is:

`-3hati+5hatj+2hatk`

Topper's Solved these Questions

THREE DIMENSIONAL GEOMETRY
KUMAR PRAKASHAN|Exercise TEXTBOOK IILUSTRATIONS FOR PARCTICE WORK|30 Videos
THREE DIMENSIONAL GEOMETRY
KUMAR PRAKASHAN|Exercise SOLUTION OF NCERT EXAMPLAR PROBLEMS (Short Answer Type Question)|49 Videos
THREE DIMENSIONAL GEOMETRY
KUMAR PRAKASHAN|Exercise MISCELLANEOUS EXERCISE-11|23 Videos
RELATIONS AND FUNCTIONS
KUMAR PRAKASHAN|Exercise Practice Paper - 1 (Section - D)|2 Videos
VECTOR ALGEBRA
KUMAR PRAKASHAN|Exercise Practice Paper - 10 (Section-D)|2 Videos

Similar Questions

Explore conceptually related problems

Find the distance of a point (2, 5, -3) from the plane vecr.(6hati-3hatj+2hatk)=4

Find the equation of the plane passing through the point (3, 4, -1) and parallel to the plane vecr.(2hati-3hatj+5hatk)+2=0

Find the equation of the plane passing through the line of intersection of the planes vecr.(hati+3hatj-hatk)=0 and vecr.(hatj+2hatk)=0 and also passing through the point 2hati+hatj-hatk .

Find the equation of the plane which contains the line of intersection of the planes vecr.(hati+2hatj+3hatk)-4=0,vecr.(2hati+hatj-hatk)+5=0 and which is perpendicular to the plane vecr.(5hati+3hatj-6hatk)+8=0

Find the vector equation of the plane containing the lines vecr=(hati+hatj-hatk)+lambda(3hati-hatj) and vecr=(4hati-hatk)+mu(2hati+3hatk) .

Find the direction cosines of perpendicular from the origin to the plane vecr.(6hati-3hatj-2hatk)+1=0 .

Find the equation of the plane passing through the line of intersection of the planes vecr.(hati+hatj+hatk)=1 and vecr.(2hati+3hatj-hatk)+4=0 and parallel to X- axis.

Find the Cartesian equation of the following planes : (a) vecr.(hati+hatj-hatk)=2 (b) vecr.(2hati+3hatj-4hatk)=1 (c) vecr.((s-2t)hati+(3-t)hatj+(2s+t)hatk)=15

Find the vector equation of the line passing through (1, 2, 3) and parallel to the planes vecr.(hati-hatj+2hatk)=5 and vecr.(3hati+hatj+hatk)=6

Find the distance between the parallel planes vecr.(2hati-3hatj+6hatk)=5 and vecr.(6hati-9hatj+18hatk)+20=0

KUMAR PRAKASHAN-THREE DIMENSIONAL GEOMETRY-PRACTICE WORK

Find the angle between the lines (5-x)/(-2)=(y+3)/(1)=(1-z)/(3) and x/...
Text Solution
|
Show that the lines (x-5)/(7)=(y+2)/(-5)=z/1 and x/1=y/2=z/3 are perpe...
Text Solution
|
Find the co-ordinates of the point where the line (x+1)/(2)=(y+2)/(3)=...
Text Solution
|
Find the co-ordinates of the point where the line through A(3, 4, 1) a...
Text Solution
|
Find the coordinates of the foot of perpendicular drawn from the point...
Text Solution
|
Find the foot of perpendicular from the point (0, 2, 3) on the line (x...
Text Solution
|
Find the image of the point (3, 5, 3) with respect to the line x/1=(y-...
Text Solution
|
Find the equation of the plane passing through the points (1, 2, 3) an...
Text Solution
|
Find the equation of the plane passing through the line of intersectio...
Text Solution
|
Find the equation of the plane passing through the point (3, 4, -1) an...
Text Solution
|
Find the equation of the plane passing through the line of intersectio...
Text Solution
|
If the points (1, 1, lambda) and (-3, 0, 1) be equidistant from the pl...
Text Solution
|
Find the vector equation of the plane containing the lines vecr=(hati+...
Text Solution
|
Find the equation of the plane containing two parallel lines (x-4)/(1)...
Text Solution
|
Show that the line vecr=hati+hatj+lambda(2hati+hatj+4hatk) lies in the...
Text Solution
|
Find the image of the point (1, 3, 4) in the plane vecr.(2hati-hatj+ha...
Text Solution
|
Find the foot of perpendicular from the point (0, 2, -2) to the plane ...
Text Solution
|
Find the point of intersection of the line (x-1)/(2)=(2-y)/(3)=(z+3)/(...
Text Solution
|
Find the equation of perpendicular bisector of the plane of the line s...
Text Solution
|
Find the direction cosines of the two lines which are connected by the...
Text Solution
|