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The moment of the couple formed by force...

The moment of the couple formed by forces `5hati+hatk and -5hati-hatk` acting at the points (9,-1,2) and (3,-2,1) respectively is,

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The moment of the couple formed by the forces 5hati +hatj and -5hati - hatk acting at the points (9 ,-1,2) and ( 3,-2,1) respectively, is

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 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).

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.

Three forces hati+2hatj-3hatk,2hati+3hatj+4hatk and -hati-hatj+hatk acting on a particle at the point (0,1,2) the magnitude of the moment of the forces about the point (1,-2,0) is

If the position vectors of P and Q are (hati+3hatj-7hatk) and (5hati-2hatj+4hatk) , then |PQ| is

The position vectors of the points A, B, C are 2 hati + hatj - hatk , 3 hati - 2 hatj + hatk and hati + 4hatj - 3 hatk respectively . These points

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  19. Let veca=hati+hatj+hatk, vecb=hati and vecc=c1hati+c2hatj+c3hatk. Then...

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  20. Find the volume of the parallelopiped with coteminous edges AB,AC and ...

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