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A vector perpendicular to both of (3hat...

A vector perpendicular to both of `(3hati+hatj+2hatk) and (2hati-2hatj+4hatk)` is

A

`1/(sqrt(3))(hati+hatj-hatk)`

B

`hati-hatj-hatk`

C

`1/(sqrt(3))(hati+hatj+hatk)`

D

`(sqrt(3)hati-hatj-hatk)`

Text Solution

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The correct Answer is:
B
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Find a unit vector which is perpendicular to both vecA=3hati+hatj+2hatk and vecB=2hati-2hatj+4hatk .

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Find the unit vector perpendicular to both the vectors vecA=(2hati+2hatj+2hatk) and vecB=(hati-hatj+2hatk) .

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Find the equation of a line passing through the point P(2,-1,3) and perpendicular to the lines vecr=(hati+hatj-hatk)+lambda(2hati-2hatj+hatk) and vec r=(2hati-hatj-3hatk)+mu(hati+2hatj+2hatk) .

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CHHAYA PUBLICATION-VECTOR-EXERCISE (Multiple Choice Questions)
  1. An aeroplane is flying with a velocity of 216 km/h at an altitude of 1...

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  2. The initial velocity and the acceleration of a particle are vecu=3hati...

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  3. The equations of motion of a projectile are x=36 t and 2y=96t-9.8 t^2....

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  4. Two projectiles, projected with angles (45^@- theta) and (45^@+theta)...

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  5. For a projectile, ("horizontal range")^2 =48xx("maximum height")^2 ...

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  6. Two railway tracks are paraller to west-east direction . Along one tra...

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  7. Angle between the vectors hati +hatj and hati-hatk is

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  8. A vector is multiplied by (-2) .As a result

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  9. In a clockwise system

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  10. A vector vecP=3hati-2hatj+ahatk is perpendicular to the vector vecQ=2h...

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  11. For any two vectors vecA and vecB, if vecA*vecB=|vecAxxvecB| , the mag...

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  12. vecA*vecA=?

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  13. A vector perpendicular to both of (3hati+hatj+2hatk) and (2hati-2hatj...

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  14. A vector normal to acos theta hati+b sin thetahatj is

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  15. A vector vecA of magnitude 2 units is inclined at angles 30^@ and 60^...

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  16. For what values of a and b , the vector (ahati+bhatj) will be a unit ...

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  17. Two billiard balls, starting from the same point, have velocities (ha...

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  18. If |vecAxxvecB|=sqrt(3)vecA*vecB, then |vecA+vecB|=?

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  19. The vector product of vecA and vecB is zero . The scalar product of ve...

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  20. If vecA*vecB=vecA*vecC=0 , then the vector parallel to vecA would be

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