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The force represented by 3hati+2hatk is ...

The force represented by `3hati+2hatk` is acting through the point `5hati+4hatj-3hatk`. Find the moment about the point `hati+3hatj+hatk`.

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The force represented by 5hati+hatk is acting through the point 9hati-hatj+2hatk . Find the moment about the point 3hati-2hatj+2hatk .

Find the moment of the couple consisting of the force vecF=3hati+2hatj-hatk acting through the point hati-hatj+hatk and -vecF acting through the point 2hati-3hatj-hatk .

Find the moment (torque) about the point hati+2hatj+3hatk of a force represented by hati+hatj+hatk acting through the point -2hati+3hatj+hatk .

Find the image of the point hati+3hatj+4hatk in the plane vecr.(2hati-hatj+hatk)+3=0 .

Find the moment about the point hati+2hatj-hatk of a force represented by hati+2hatj+hatk acting through the point 2hati+3hatj+hatk .

Find the distane of the point P(hati+hatj+hatk) from the plane through the points A(2hati+hatj+hatk) , B(hati+2hatj+hatk) and C(hati+hatj+2hatk)

Let vecF=2hati+4hatj+3hatk at the point P with position vector hati-hatj+3hatk . Find the moment of vecF about the line through the origin O in the direction of the vector veca=hati+2hatj+2hatk .

Find the work done by the force vecF=2hati+hatj+hatk acting on a particle, if the particle is displaced from the point with position vector 2hati+2hatj+2hatk to the point with position vector 3hati+4hatj+5hatk .

Find the vector moment of the forces : hati+2hatj-3hatk: 2hati+3hatj+4hatk and -hati-hatj+hatk acting on a particle at a point P(0,1,2) about the point A(1,-2,0).

MODERN PUBLICATION-VECTORS-Exercise
  1. Prove that : sin(A- B) = sin A cos B -cos A sin B.

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  2. Find the moment about (1,-1,-1) of the force 3hati+4hatj-5hatk acting ...

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  3. The force represented by 3hati+2hatk is acting through the point 5hati...

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  4. Find the moment about the point hati+2hatj-hatk of a force represented...

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  5. The force represented by 5hati+hatk is acting through the point 9hati-...

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  6. A force vecF=4hati+hatk acts through point A(0,2,0). Find the moment v...

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  7. Let vecF=2hati+4hatj+3hatk at the point P with position vector hati-ha...

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  8. A force vecF=3hati+2hatj-4hatk is applied at the point (1,-1,2).Find t...

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  9. Two unlike forces of equal magnitudes hatj+2hatk and -hatj-2hatk are a...

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  10. A force of 3 units acts through the point (4,-1,7) in the direction of...

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  11. Find the moment about the point (3,4,5) of the force through the point...

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  12. The moment of the couple formed by forces 5hati+hatk and -5hati-hatk a...

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  13. Find the vector moment of the forces : hati+2hatj-3hatk: 2hati+3hatj+4...

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  14. Classify the following quantities as vector or scalar : (i) Time perio...

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  15. Find veca*(vecbxxvecc) if : veca=2hati+hatj+3hatk,vecb=-hati+2hatj+hat...

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  16. Show that veca*(vecaxxvecb)=0 for any pair veca,vecb of vectors.

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  17. If veca=7hati-2hatj+3hatk, vecb=hati-hatj+2hatk, vecc=2hati+8hatj, the...

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  18. Show that the following vectors are coplanar : veca=hati-2hatj+3hatk,v...

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  19. Show that the following vectors are coplanar : -2hati-2hatj+4hatk,-2ha...

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  20. For what value of 'lambda' is the following vectors coplanar ? veca=ha...

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