|

Vectors

Cool goIITian

 Joined: 23 Jun 2011 Post: 65
29 May 2012 22:46:21 IST
1 People liked this
4
351
3D geometry
Engineering Entrance , JEE Main , JEE Main & Advanced , Mathematics , Vectors

Find the Cartesian eqution of line 6x-2=3y+1=2z-2. Find its direction ratios and also the vector eqution of the line.

Cool goIITian

Joined: 29 May 2012
Posts: 37
29 May 2012 23:45:23 IST
0 people liked this

Cartesian equation is the one which you posted.

To find direction rations,make x,y and z independent of any terms

So, line is

6x-2=3y+1=2z-2

6(x- 1/3)= 3(y+1/3)= 2(z-1)

(x- 1/3)/(1/6)= (y + 1/3)/(1/3)= (z-1)/(1/2)

So direction ratios are 1/6,1/3 and 1/2

Since this line passes through (1/3,-1/3,1) and has above direction ratios

Its vector eqn is given by

[(1/3)i + (-1/3)j +k] + m[(1/6)i + (1/3)j + (1/2)k]=0

where m is any constant.

Cool goIITian

Joined: 23 Jun 2011
Posts: 65
30 May 2012 00:59:57 IST
0 people liked this

Thanks a lot:)

Cool goIITian

Joined: 23 Jun 2011
Posts: 65
30 May 2012 01:13:02 IST
0 people liked this

Could you tell me what exactly vector equation is?

Cool goIITian

Joined: 29 May 2012
Posts: 37
30 May 2012 09:18:53 IST
2 people liked this

If any line passes through a point having position vector a and direction cosines b,then its vector equation is given by a+m.b=0 where m is any constant.

 Some HTML allowed. Keep your comments above the belt or risk having them deleted. Signup for a avatar to have your pictures show up by your comment If Members see a thread that violates the Posting Rules, bring it to the attention of the Moderator Team

## For Quick Info

Name

Mobile

E-mail

City

Class

Vertical Limit

Top Contributors
All Time This Month Last Week
1. Bipin Dubey
 Altitude - 16545 m Post - 7958
2. Himanshu
 Altitude - 10925 m Post - 3836
3. Hari Shankar
 Altitude - 10050 m Post - 2205
4. edison
 Altitude - 10815 m Post - 7802
5. Sagar Saxena
 Altitude - 8625 m Post - 8064
 Altitude - 6330 m Post - 1979

Physics

Topics

Mathematics

Chemistry

Biology

Institutes

Parents Corner

Board

Fun Zone