The magnitude of the projection of the v...

The magnitude of the projection of the vector `2hati+3hatj+hatk` on the vector perpendicular to the plane containing the vectors `hati+hatj+hatk and hati+2hatj+3hatk` is :

`(sqrt3)/(2)`

`sqrt6`

`3sqrt6`

`sqrt((3)/(2))`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

THREE DIMENSIONAL GEOMETRY
VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE)|34 Videos
THREE DIMENSIONAL GEOMETRY
VMC MODULES ENGLISH|Exercise NUMERICAL VALUE TYPE FOR JEE MAIN|14 Videos
STRAIGHT LINES
VMC MODULES ENGLISH|Exercise JEE Advanced Archive (State true or false: Q. 42)|1 Videos
TRIGONOMETRIC IDENTITIES AND EQUATIONS
VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|11 Videos

Similar Questions

Explore conceptually related problems

If the magnitude of the projection of the vector hati-hatj+2hatk on the vector perpendicular to the plane containing the vectors 2hati+hatj+3hatk and hati-hatj-2hatk is k, then the value of (1)/(k^(2)) is equal to

The projection of the vector hati+hatj+hatk along the vector of hatj is

Find a unit vector perpendicular to each of the vectors hati+2hatj-3hatk and hati-2hatj+hatk .

find the projection of the vector hati+3hatj+7hatk on the vector 7hati-hatj+8 hatk

What is the unit vector perpendicular to the following vectors 2hati+2hatj-hatk and 6hati-3hatj+2hatk

Find a unit vector perpendicular to both the vectors hati-2hatj+hatk and hati+2hatj+hatk .

Find a unit vector perpendicular to both the vectors 2hati+3hatj+hatk) and (hati-hatj+2hatk) .

Find a unit vector perpendicular to both the vectors (2hati+3hatj+hatk) and (hati-hatj+2hatk) .

Find the projection of the vector hati-2hatj+hatk on the vector 4hati-4hatj+7hatk .

Find a unit vector perpendicular to each one of the vectors vec a =4hati -hatj +3hatk and vecb =3 hati +2hatj -hatk

VMC MODULES ENGLISH-THREE DIMENSIONAL GEOMETRY -JEE MAIN (ARCHIVE)

A plane passing through the points (0, –1, 0) and (0, 0, 1) and making...
Text Solution
|
If the line, (x-1)/(2) = (y+1)/(3) = (z-2)/(4) meets the plane, x+2...
Text Solution
|
Find the vector equation of the plane through the line of intersection...
Text Solution
|
The length of the perpendicular from the point (2, -1, 4) on the strai...
Text Solution
|
The magnitude of the projection of the vector 2hati+3hatj+hatk on the ...
Text Solution
|
The equation of a plane containing the line of intersection of the pla...
Text Solution
|
about to only mathematics
Text Solution
|
A plane passing through three points (-lamda^2, 1, ) (1, -lamda^2, 1),...
Text Solution
|
The perpendicular distance from the origin to the plane containing the...
Text Solution
|
Two lines (x-3)/1 = (y+1)/3 = (z-6)/(-1) and (x+5)/7 = (y-2)/(-6) = (z...
Text Solution
|
If the point (2 , alpha , beta) lies on the plane which passes throug...
Text Solution
|
The plane containing the line (x-3)/2=(y+2)/(-1) =(z-1)/3 and also ...
Text Solution
|
The direction ratios of normal of a plane passing through two points (...
Text Solution
|
The plane which bisects the line segment joining the points (-3, -3, 4...
Text Solution
|
On which of the following lines lies the point of intersection of the ...
Text Solution
|
Find the plane passing through (4,-1,2) and parallel to the lines (x+2...
Text Solution
|
Let A be a point on the line vecr=(1-3mu)hati+(mu-1)hatj+(2+5mu)hatk a...
Text Solution
|
Equation of the plane containing the straight line (x)/(2)= (y)/(3)= (...
Text Solution
|
If plane through the intersection fo the planes x+y+z=1 and 2x+3y-z+4=...
Text Solution
|
The equation of the line passing through (-4, 3, 1), parallel to the p...
Text Solution
|