For any two vectors veca and vecb, which...

For any two vectors `veca` and `vecb`, which one of the following is not true ?

`|veca+vecb|le|veca|+|vecb|`

`|veca-vecb|le|veca|+|vecb|`

`|veca-vecb|le|veca|-|vecb|`

`|veca-vecb|ge|veca|-|vecb|`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

VECTOR ALGEBRA
AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT (SECTION-B)|32 Videos
VECTOR ALGEBRA
AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT (SECTION-C)|6 Videos
VECTOR ALGEBRA
AAKASH INSTITUTE ENGLISH|Exercise TRY YOURSELF|20 Videos
TRIGNOMETRIC FUNCTIONS
AAKASH INSTITUTE ENGLISH|Exercise Section - J (Akash Challengers Question)|16 Videos

Similar Questions

Explore conceptually related problems

If veca,vecb and vecc are three vectors of which every pair is non colinear. If the vector veca+vecb and vecb+vecc are collinear with the vector vecc and veca respectively then which one of the following is correct? (A) veca+vecb+vecc is a nul vector (B) veca+vecb+vecc is a unit vector (C) veca+vecb+vecc is a vector of magnitude 2 units (D) veca+vecb+vecc is a vector of magnitude 3 units

If vecA and vecB are two vectors, then which of the following is wrong?

If veca and vecb are two unit vectors perpenicualar to each other and vecc= lambda_(1)veca+ lambda_2 vecb+ lambda_(3)(vecaxx vecb), then which of the following is (are) true ?

Let veca,vecb,vecc be unit vectors such that veca+vecb+vecc=vec0 . Which of the following is correct?

If veca, vecb, vecc are three non-zero vectors, then which of the following statement(s) is/are true?

If veca and vecb are unit vectors, then which of the following values of veca.vecb is not possible ?

For any two vectors veca and vecb prove that |veca.vecb|<=|veca||vecb|

If theta is the angle between any two vectors veca and vecb , then |veca.vecb|=|veca xx vecb| when theta is equal to

AAKASH INSTITUTE ENGLISH-VECTOR ALGEBRA-ASSIGNMENT (SECTION-A)

If the sum of two unit vectors is a unit vector, then the magnitude of...
Text Solution
|
Let O be the centre of a regular hexagon A B C D E F . Find the sum of...
Text Solution
|
For any two vectors veca and vecb, which one of the following is not t...
Text Solution
|
Find a unit vector in the direction of vector vecb = hati + 2hatj + 3h...
Text Solution
|
Prove that the vectgors 2hati-hatj+hatk, hati-3hatj-5hatk and 3hati-4h...
Text Solution
|
The magnitude of the sum of two vectors is equal to the difference in ...
Text Solution
|
What is the angle between veca and the resultant of veca+vecb and veca...
Text Solution
|
What is the magnitude of the scalar product of the following vectors ...
Text Solution
|
Given that 0.4hati+0.8hatj+b hatk is a unit vector . What is the valu...
Text Solution
|
ABCD is parallelogram. If L and M are the middle points of BC and CD, ...
Text Solution
|
If veca=hati+hatj, vecb=hatj+hatk, vec c hatk+hati, a unit vector par...
Text Solution
|
p1 hati+p2hatj is a unit vector perpendicular to 4hati-3hatj if
Text Solution
|
If vecOA=veca,vecOB=vecb,vecOC=2veca+3vecb,vecOD=veca-2vecb, the lengt...
Text Solution
|
Let veca=3hati-hatj, vecb=hati-2hatj, vec c=-hati+7hatj and vecp=veca+...
Text Solution
|
If vecaxxvecb=vecaxxvec c,veca ne 0, then
Text Solution
|
Given two vectors veca=2hati-3hatj+6hatk, vecb=-2hati+2hatj-hatk and...
Text Solution
|
The area of parallelogram whose diagonals coincide with the following ...
Text Solution
|
Let veca , vecb and vecc be three non-zero vectors such that veca + ve...
Text Solution
|
If vecaxxvecb=vecc,vecb xx vecc=veca, where vecc != vec0, then
Text Solution
|
ABCDEF is a regular hexagon where centre O is the origin, if the posit...
Text Solution
|