Home » Ask & Discuss » Mathematics. » Vectors « Back to Discussion

Vectors

Blazing goIITian

Joined:	12 Feb 2009
Post:	598

30 Mar 2009 21:03:50 IST

0 People liked this

434

vectors aieee 10

None

If a,b,c are non-coplanar vectors and is a real no., then for how many values of is

[(a+b) ²b c] = [a b+c b] ??

Share this article on:

Comments (9)

suppandi

Blazing goIITian

Joined: 12 Feb 2009

Posts: 598

31 Mar 2009 11:17:11 IST

Like 0 people liked this

suppandi

Blazing goIITian

Joined: 12 Feb 2009

Posts: 598

1 Apr 2009 10:23:47 IST

Like 0 people liked this

abhishek

Cool goIITian

Joined: 10 May 2008

Posts: 83

1 Apr 2009 10:45:04 IST

Like 0 people liked this

2 values... am i correct. do rate plzzzz

suppandi

Blazing goIITian

Joined: 12 Feb 2009

Posts: 598

1 Apr 2009 10:46:03 IST

Like 0 people liked this

Ill rate you, but plz explain

abhishek

Cool goIITian

Joined: 10 May 2008

Posts: 83

1 Apr 2009 10:47:30 IST

Like 0 people liked this

but is the ans correct????

suppandi

Blazing goIITian

Joined: 12 Feb 2009

Posts: 598

1 Apr 2009 10:50:08 IST

Like 0 people liked this

No, the answer says exactly one value of lambda

abhishek

Cool goIITian

Joined: 10 May 2008

Posts: 83

1 Apr 2009 10:57:34 IST

Like 1 people liked this

Ya u are right.I am getting lambda^2=1.so that means two solns should be there -1,+1 but -1 doesn't satisfy the eqn therefore +1 is the correct answer.take a=ai+aj+ak,b=bi+bj+bk and similarly c.write it in determinant form.take lambda common frm all the rows and columns.you get lambda^4 outside.using properties of determinants you will find the thing inside the determinant is equal to that to the right.thus lambda^4=1,same as lambda^2=1.hence ans is 1 value.rateeeeee

suppandi

Blazing goIITian

Joined: 12 Feb 2009

Posts: 598

1 Apr 2009 10:59:51 IST

Like 0 people liked this

The options-

a)Exactly 3 values of

b)Exactly 2 values of

c)Exactly one value of

d)No value of

abhishek

Cool goIITian

Joined: 10 May 2008

Posts: 83

1 Apr 2009 11:02:43 IST

Like 1 people liked this

the option is c.I explained it to you

Quick Reply

Reply

	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