The projection of a vector on the three ...

The projection of a vector on the three coordinate axes are `6, -3, 2`, respectively. The direction cosines of the vector are

A

`6,-3,2`

B

`6/5, 3/5,2/5`

C

`6/7,3/7,2/7`

D

`-6/7,-3/7,2/7`

Text Solution

Verified by Experts

The correct Answer is:

C

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

The projections of a vector on the three coordinate axis are 6, 3, 2 respectively. The direction cosines of the vector are (A) 6,-3,2 (B) 6/5,(-3)/5,2/5 (C) 6/7,(-3)/7,2/7 (D) (-6)/7,(-3)/7,2/7

The projections of a line segment on the coordinate axes are 12,4,3 respectively. The length and direction cosines of the line segment are

The projection of a vector on the coordinate axes are (6,-3,2) Find its length and direction cosines.

The projection of a vector on the coordinate axes are 6,-3,2. Find its length and direction cosines,

The projection of a vector on the co-ordinate axis are 2,3 and -6. Find the direction cosines of the vector.

Find the direction cosines of the vector 2hati+2hatj-hatk

Find the direction cosines of the vector: hati+2hatj+6hatk

The direction cosines of the vector 3hati-4hatj+5hatk are

If projections of as line on x,y and z axes are 6,2 and 3 respectively, then directions cosines of the lines are (A) (6/2,2/7,3/7) (B) (3/5,5/7,6/7) (C) (1/7,2/7,3/7) (D) none of these

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

Statement-I The point A(3, 1, 6) is the mirror image of the point B(1,...
Text Solution
|
Let the line (x-2)/(3)=(y-1)/(-5)=(z+2)/(2) lies in the plane x+3y-alp...
Text Solution
|
The projection of a vector on the three coordinate axes are 6, -3, 2, ...
Text Solution
|
The line passing through the points (5, 1, a) and (3, b, 1) crosses th...
Text Solution
|
If the straight lines (x-1)/(k)=(y-2)/(2)=(z-3)/(3) and (x-2)/(3)=(y-3...
Text Solution
|
Let L be the line of intersection of the planes 2x""+""3y""+""z""=""...
Text Solution
|
If a line makes an angle of pi/4 with the positive directions of each ...
Text Solution
|
If (2, 3, 5) is one end of a diameter of the sphere x^(2)+y^(2)+z^(2)-...
Text Solution
|
The two lines x=ay+b,z=cy+d and x=a'y+b', z=c'y +d' are pendicular to ...
Text Solution
|
the image of the point (-1,3,4) in the plane x-2y=0 a.(-(17)/(3),(19)/...
Text Solution
|
If angle theta bertween the line (x+1)/1=(y-1)/2=(z-2)/2 and the plane...
Text Solution
|
The angle between the lines 2x=3y=-z and 6x=-y=-4z is
Text Solution
|
A line makes the same angle theta with X-axis and Z-axis. If the angle...
Text Solution
|
A line with direction cosines proportional to 2,1,2 meet each of the l...
Text Solution
|
If the straight lines x=-1+s ,y=3-lambdas ,z=1+lambdasa n dx=t/2,y=1+t...
Text Solution
|
The shortest distance from the plane 12 x+y+3z=327to the sphere x^2+y^...
Text Solution
|
Two system of rectangular axes have the same origin. If a plane cuts t...
Text Solution
|
A parallelopied is formed by planes drawn through the points (2, 4, 5)...
Text Solution
|
Equation of any plane containing the line (x-x1)/(a)=(y-y1)/(b)=(z-z1)...
Text Solution
|
The distance of the point having position vector -hat(i) + 2hat(j) + 6...
Text Solution
|