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Two unlike forces of equal magnitudes ha...

Two unlike forces of equal magnitudes `hatj+2hatk` and `-hatj-2hatk` are acting at the points whose position vectors are given by `hati+hatj+hatk` and `hati+2hatj+3hatk` respectively. Find the moment of the couple formed by these forces.

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MODERN PUBLICATION-VECTORS-Exercise
  1. Let vecF=2hati+4hatj+3hatk at the point P with position vector hati-ha...

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

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

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

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

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

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

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

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

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

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

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

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

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

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  15. For what value of 'lambda' are the following vectors coplanar? : hat...

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  16. For what value of 'lambda' is the following vectors coplanar ? veca=2h...

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  17. Using scalar triple product, show that the four points given by positi...

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  18. Find 'x' such that the four points : A(3,2,1),B(4,x,5),C(4,2,-2) and D...

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  19. Show that the four points having position vectors 6hati-7hatj,16hati-1...

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  20. Find the volume of the parallelopiped whose sides are given by the vec...

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