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Find the position vector of a point R wh...

Find the position vector of a point R which divides the line joining the points `P(hati+2hatj-hatk`) and `Q(hati+2hatj+2hatk)` internally in the ratio 2:1.

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The correct Answer is:
(i) -`(1)/(3)hati+(4)/(3)hatj+(1)/(3)hatk`
(ii) `-3hati+3hatk`
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ARIHANT MATHS-VECTOR ALGEBRA-Exercise For Session 2
  1. If a=2hati-hatj+2hatk and b=-hati+hatj-hatk, then find a+b. Also, find...

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  2. Find a unit vector in the direction of the resultant of the vectors (h...

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  3. Find the direction cosines of the resultant of the vectors (hati+hatj+...

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  4. In a regular hexagon ABCDEF, AB=a,BC=b and CD=c. Then,vec(AE) is equa...

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  5. Prove that 3vec(OD)+vec(DA)+vec(DB)+vec(DC) is equal to vec(OA)+vec(OB...

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  6. In a regular hexagon ABCDEF, bar(AB) + bar(AC)+bar(AD)+ bar(AE) + bar(...

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  7. ABCDE is a pentagon. Prove that the resultant of forces vec (AB), vec(...

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  8. find the area of square whose side is 25 cm.

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  9. If P(-1,2) and Q(3,-7) are two points, express the vector PQ in terms ...

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  10. If vec(OP)=2hati+3hatj-hatk and vec(OQ)=3hati-4hatj+2hatk find the mod...

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  11. Show that the points : A(2hati-hatj+hatk),B(hati-3hatj-hatk),C(3hati-4...

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  12. If a=2hati+2hatj-hatk and |xveca|=1, then find x.

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  13. If p=7hati-2hatj+3hatk and q=3hati+hatj+5hatk, then find the magnitude...

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  14. Find a vector in the direction of 5hati-hatj+2hatk, which has magnitud...

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  15. If a=hati+2hatj+2hatk and b=3hati+6hatj+2hatk, then find a vector in t...

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  16. Find the position vector of a point R which divides the line joining t...

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  17. If the position vector of one end of the line segment AB be 2hati+3hat...

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