Home
Class 11
PHYSICS
For the any two vecrtors vecA and vecB, ...

For the any two vecrtors `vecA` and `vecB`, if `vecA.vecB=|vecAxxvecB|`, the magnitude of `vecC=vecA+vecB` is equal to

A

`sqrt(A^(2)+B^(2))`

B

`A+B`

C

`sqrt(A^(2)+B^(2)+(AB)/(sqrt2))`

D

`sqrt(A^(2)+B^(2)+sqrt2AB)`

Text Solution

Verified by Experts

The correct Answer is:
D
`vecA.vecB=|vecA xxvecB|` (Given)
`:.ABcos theta= AB sin theta, :.tan theta=1 " or " theta=45^@`
`vecC=vecA+vecB` (Given)
`:. C^2=A^2+B^2+2ABcos 45^@=A^(2) +B^(2)+sqrt(2)AB`
or `C = sqrt(A^2+B^2+sqrt(2)AB)`
Promotional Banner

Topper's Solved these Questions

  • KINEMATICS

    MTG GUIDE|Exercise Topicwise Practice Questions (MOTION IN A PLANE )|23 Videos

  • KINEMATICS

    MTG GUIDE|Exercise Topicwise Practice Questions (PROJECTILE MOTION)|58 Videos

  • KINEMATICS

    MTG GUIDE|Exercise Topicwise Practice Questions (VECTORS)|23 Videos

  • GRAVITATION

    MTG GUIDE|Exercise AIPMT/NEET MCQS|32 Videos

  • LAWS OF MOTION

    MTG GUIDE|Exercise AIPMT /NEET (MCQ)|24 Videos

Similar Questions

Explore conceptually related problems

If vecA+vecB=vecC , then magnitude of vecB is

Can the magnitude of vecA -vecB be equal to vecA+vecB ?

if| vecAxxvecB|=|vecA.vecB| , then angle between vecA and vecB will be

If |vecAxxvecB|=sqrt3 vecA.vecB then |vecA+vecB|=

For three vectors veca, vecb and vecc , If |veca|=2, |vecb|=1, vecaxxvecb=vecc and vecbxxvecc=veca , then the value of [(veca+vecb,vecb+vecc,vecc+veca)] is equal to

If |vecaxxvecb|=2,|veca.vecb|=2 , then |veca|^(2)|vecb|^(2) is equal to

Assertion: If theta be the angle between vecA and vecB then tan theta=(vecAxxvecB)/(vecA.vecB) Reason: vecAxxvecB is perpendicular to vecA.vecB

for any three vectors, veca, vecb and vecc , (veca-vecb) . (vecb -vecc) xx (vecc -veca) = 2 veca.vecb xx vecc .

Two vectors vecA" and "vecB have equal magnitudes. If magnitude of vecA+vecB is equal to n times the magnitude of vecA-vecB , then the angle between vecA" and "vecB is :-

Then for any arbitary vector veca, (((veca xx vecb) + (veca xx vecb))xx (vecb xx vecc)) (vecb -vecc) is always equal to