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If the vectors 3 hat i +3 hat j +9 hat k...

If the vectors `3 hat i +3 hat j +9 hat k` and `hat i +a hat j +3 hat k` are parallel, then a =

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Find the value of a for which the vector 3 hat i + 3 hat j + 9 hat k and hat i + a hat j + 3 hat k are parallel.

Find the value of 'p' for which the vectors 3hat i+2hat j+9hat k and hat i-2phat j+3hat j+3hat k are parallel.

Prove that the vectors vec A = 4 hat i + 3 hat j + hat k and vec B = 12 hat i + 9 hat j + 3 hat k are parallel to each other.

Find the value of mu if the points with position vectors hat i - hat j + 3 hat k and 3 hat i + 4 hat j+ mu hat k are equidistant form the plane hat r .(5 hat i + 2 hat j - 7 hat k )+ 8 =0

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SL ARORA-Motion in a Plane-Excercise
  1. If the resultant of two vectors vec P and vec Q is given by R^(2) = P^...

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  2. If |vec A + vec B=|vec A - vec B|, then angle between vec A and vec B ...

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  3. If the vectors 3 hat i +3 hat j +9 hat k and hat i +a hat j +3 hat k a...

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  4. If |vec A|=10, |vec B|=2, and vec A . vec B = 12, |vec A xx vec B| =.

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  5. If vec A and vec B denote the sides of a parallelogram of area AB/ 2,...

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  6. The angle between the direction of velocity and acceleration at the hi...

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  7. For the motion of a projectile in a vertical plane, horizontal acceler...

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  8. The greatest height to which a man can throw a stone is h. The greates...

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  9. A ball projected with speed u at an angle of projection 15^circ has ra...

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  10. For a projectile projected at an angle the maximum height and horizont...

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  11. For a given angle of projection, if the initial velocity of a projecti...

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  12. A body is projected with speed u at an angle theta to the horizontal t...

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  13. A given quantity has both magnitude and direction. It is necessarily a...

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  14. The vector (1/sqrt2 hat i + 1/sqrt2 hat j)is a unit vector?

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  15. The vector (hat i +hat j) is a unit vector.

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  16. We have n coplanar forces, each of magnitude T. If each force makes an...

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  17. If vec A. vec B = vec A. vec C, is it correct to conclude that vec B ...

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  18. If the component of one vector in the direction of another vector is ...

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  19. Are the magnitude and direction fo (vec A-vec B) . same as that of ...

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  20. Which of the following quantities can never be negative?

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