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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 point `P(hati + 2hatj - hatk)` and `Q(-hati + hatj + hatk)` in the ratio `2 : 1`, (i) internally and (ii) externally.

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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 ha...

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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, vec(AE)

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  5. Prove that 3OD+DA+DB+DC is equal to OA+OB+OC.

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

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  7. A B C D E is pentagon, prove that vec A B + vec B C + vec C D ...

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  8. The position vectors of A, B,C and D are vec a , vec b , vec 2a+ vec ...

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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,B and C having position vectors (3hati - 4hatj ...

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

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

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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. Iff the position vector of one end of the line segment AB be 2hati+3ha...

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