Show that |overset rarr A + overset rarr...

Show that `|overset rarr A + overset rarr B|^2 - |overset rarr A - overset rarr B |^2 = 4 overset rarr A cdot overset rarr B`.

Topper's Solved these Questions

KINEMATICS
JBD PUBLICATION|Exercise EXAMPLE|163 Videos
GRAVITATION
JBD PUBLICATION|Exercise EXAMPLE|78 Videos
LAWS OF MOTION
JBD PUBLICATION|Exercise EXAMPLE|168 Videos

Similar Questions

Explore conceptually related problems

If overset rarr A + overset rarr B = overset rarr A - overset rarr B ,then:

The vectors overset rarr A and overset rarr B are such that | overset rarr A + overset rarr B| = | overset rarr A - overset rarr B | ,then the angle between two vectros will be :

If |overset rarr A xx overset rarr B| = |overset rarr A cdot overset rarr B| ,then find the angle between overset rarr A and overset rarr B .

Is the magnitude of (overset rarr A - overset rarr B) same as that of (overset rarr B - overset rarr A) ?

Three vectors overset rarr P,overset rarr Q and overset rarr R satisfy the relations overset rarr P cdot overset rarr Q = 0 and overset rarr P * overset rarr R = 0 .To which vector, the vector overset rarr P is parallel to .

If the magnitude of vectors overset rarr P,overset rarr Q and oversert rarr R are 3,4 and 5 units respectively,and if overset rarr P + overset rarr Q = overset rarr R ,then what will be the angle between overset rarr P and overset rarr R ?

The dimensions of the quantity overset rarr E xx overset rarr B ,wehre overset rarr E represents the electric field and overset rarr B the magnetic field may be given as:

At what angles do the two fores (overset rarr P + overset rarr Q ) adn (overst rarr P - overset rarr Q) act so that the agnitude of the resultantts is sqrt(2(P^2 + Q^2 ) ) ?

If overset rarr A,overset rarr B and overset rarr C are mutually perpendicular to each other ,then find the value of overset rarr A cdot (overset rarr C + overset rarr B) .

Identify A, B, C and D in the following conversions: A overset (NaNO_2 //HCl) underset (0-5^@ C) rarr CH_3OH overset (PCl_3) rarr B overset (KCN) rarr C overset (LiAlH_4) rarr D

JBD PUBLICATION-KINEMATICS-EXAMPLE

Can two non -zero vectors give zero resultant when they cross-multiply...
Text Solution
|
In vec F=q(vecvxxvecB), which pair of vectors are always at right angl...
Text Solution
|
Show that |overset rarr A + overset rarr B|^2 - |overset rarr A - over...
Text Solution
|
Show that vector addition is commutative.
Text Solution
|
Does the nature of a vector change when it is multiplied by a scalar?
Text Solution
|
Does the order ,in which a number of vectors are added ,matter or not...
Text Solution
|
Explain addition of vectors using graphical method.
Text Solution
|
What is the resultant vector?
Text Solution
|
Calculate the magnitude off position vector R ( 3 hat i + 4 hat j + 7...
Text Solution
|
If the magnitude of vectors overset rarr P,overset rarr Q and oversert...
Text Solution
|
Displacement vector is fundamentally a position? Comment on this state...
Text Solution
|
Why is zero vector needed?
Text Solution
|
If sum and difference of two vectors overset rarr R and overset rarr S...
Text Solution
|
Differentiate between scalars and vectors with examples.
Text Solution
|
Define Resolution ?
Text Solution
|
Derive the relation between linear velocity and angular velocity.
Text Solution
|
What are the two angles of projection of a projectile with velocity 30...
Text Solution
|
How many directions of projection are possible for the same horizontal...
Text Solution
|
If a man wants to hit a target,in what direction should be ponts his r...
Text Solution
|
Shows that the projection angle thetao for a projectile launched from ...
Text Solution
|