Home
Class 12
MATHS
veca and vecb are two given unit vectors...

`veca` and `vecb` are two given unit vectors at right angle. The unit vector equally inclined with `veca, vecb` and `vecaxxvecb` will be

A

`-(1)/(sqrt(3)) (hat(a) + vec(b) xx vec(b))`

B

`(1)/(sqrt(3))(hat(a) + hat(b) + hat(a) xx hat(b))`

C

`(1)/(sqrt(3))(hat(a) + hat(b) - hat(a) xx hat(b))`

D

`-(1)/(sqrt(3))(hat(a) + hat(b) - hat(a) xx hat(b))`

Text Solution

Verified by Experts

The correct Answer is:
A, B
Promotional Banner

Topper's Solved these Questions

  • VECTOR

    MOTION|Exercise EXERCISE - 3|38 Videos
  • VECTOR

    MOTION|Exercise EXERCISE - 4 ( LEVEL -I)|36 Videos
  • VECTOR

    MOTION|Exercise EXERCISE - 2 ( LEVEL -I)|21 Videos
  • TRIGONOMETRIC EQUATION

    MOTION|Exercise EXERCISE 4|10 Videos

Similar Questions

Explore conceptually related problems

veca and vecb are two unit vectors that are mutually perpendicular. A unit vector that if equally inclined to veca, vecb and veca xxvecb is equal to

If veca and vecb are othogonal unit vectors, then for a vector vecr non - coplanar with veca and vecb vector vecr xx veca is equal to

If veca,vecb and vecc are three mutually perpendicular unit vectors and vecd is a unit vector which makes equal angal with veca,vecb and vecc , then find the value of |veca+vecb+vecc+vecd|^(2) .

If veca,vecb and vecc are three mutually perpendicular unit vectors and vecd is a unit vector which makes equal angal with veca,vecb and vecc , then find the value of |veca+vecb+vecc+vecd|^(2) .

If veca and vecb are two unit vectors and theta is the angle between them, then the unit vector along the angular bisector of veca and vecb will be given by

Let veca and vecb be two mutually perpendicular unit vectors and vecc be a unit vector inclned at an angle theta to both veca and vecb . If vecc=xveca+xvecb+y(vecaxxvecb) , where x,yepsilonR , then the exhaustive range of theta is

Consider three vectors veca, vecb and vecc . Vectors veca and vecb are unit vectors having an angle theta between them For vector veca, |veca|^2=veca.veca If veca_|_vecb and veca_|_vecc then veca||vecbxxvecc If veca||vecb, then veca=tvecb Now answer the following question: If vecc is a unit vector and equal to the sum of veca and vecb the magnitude of difference between veca and vecb is (A) 1 (B) sqrt(2) (C) sqrt(3) (D) 1/sqrt(2)

Consider three vectors veca, vecb and vecc . Vectors veca and vecb are unit vectors having an angle theta between them For vector veca,|veca|^2=veca.veca If veca_|_vecb and veca_|_vecc then veca||vecbxxvecc If veca||vecb, then veca=tvecb Now answer the following question: If vecc is as unit vector such that veca.vecb=veca.vecc=0 and theta= (pi/6) then veca= (A) +-1/2(vecbxxvecc) (B) +-(vecbxxvecc) (C) +-2(vecbxxvecc) (D) none of these

If veca and vecb are unit vectors inclined at an angle theta , then the value of |veca-vecb| is

Let veca and vecb be two unit vectors and alpha be the angle between them, then veca + vecb is a unit vector , if alpha =