Home
Class 12
MATHS
Given bara, barb, barc are three non-zer...

Given `bara, barb, barc` are three non-zero vectors, no two of which are collinear. If the vector `(bara + barb)` is collinear with `barc` and `(barb + barc)` is collinear with `bara`, then : `bara+barb+barc`=

A

a unit vectors

B

a null vectors

C

equally inclined to `bara,barb,barc`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • VECTORS

    TARGET PUBLICATION|Exercise Competitive Thinking|79 Videos

  • TRIGONOMETRIC FUNCTIONS

    TARGET PUBLICATION|Exercise Evaluation Test|34 Videos

Similar Questions

Explore conceptually related problems

Given that the vectors bara,barb and barc (no two of them are collinera). Further if (bara +barb) is collinear with barc,(barb+barc) is collinear with bara and |bara|=|barb|=|barc|=sqrt2 . Then the value of |bara.barb+barb.barc+barc.bara| is________

IF bara barb and barc are three unit vectors such that bara times (barb times barc)=1/2 barb Find the angles which bara makes with barb and barc .

Knowledge Check

  • If bara,barb and barc be there non-zero vectors, no two of which are collinear. If the vectors bara+2barb is collinear with barc and barb+3barc is collinear with a, then ( lambda being some non-zero scalar) bara+2barb+6barc is equal to

    A
    `lambdabara`
    B
    `lambdabarb`
    C
    `lambdabarc`
    D
    0

  • If bara barb barc are three nonzero vectors no two of which are collinear, bara+2barb is collinear with barc and barb+bar3c is collinear with bara then |bara+2barb+6barc| will be equal to

    A
    Zero
    B
    1
    C
    9
    D
    None of these

  • If bara,barb,barc are three non-zero vectors which are pairwise non-collinear. If bara+3barb is collinear with barc and barb+2barc is collinear with bara , then bara+3barb+6barc is

    A
    `barc`
    B
    `bar0`
    C
    `bara+barc`
    D
    `bara`

    • Similar Questions

    Explore conceptually related problems

    lf bara,barb,barc are three unit-vectors such that 3bara + 4barb + 5barc = bar0 , then

    If bara,barb,barc are three vectors, then [bara,barb,barc] is not equal to

    If bara,barb and barc are three non-coplanar vectors, then : (bara + barb + barc) · [(bara + barb) xx (bara + barc)] =

    If bara,barb,barc are non-coplanar vectors, then three points with position vectors bara-2barb+3barc,2bara+mbarb-4barc and -7barb+10barc will be collinear if m equals

    If bara,barb,barc are non-coplanar vectors and x, y, z are scalars such that bara = x (barb xx barc) + y (barc xx bara) + z (bara xx barb) , then x =

    Home
    Profile