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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 two points P and Q whose position vectors are `P(2veca + vecb)` and `Q(veca-3vecb)` externally in the ratio 1 : 2. Also, show that P is the mid point of the line segment RQ.

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The correct Answer is:
`vec(OP)`
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BETTER CHOICE PUBLICATION-VECTOR ALGEBRA -SOLVED EXAMPLES SECTION II (SHORT ANSWER TYPE QUESTIONS)
  1. Compute the magnitude of the following vectors : veca=hati+hatj+hatk...

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  2. Find the scalar and vector components of the vector with initial point...

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  3. Find the sum of the vectors veca=hati-2hatj+hatk,vecb=-2hati+4hatj+5ha...

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  4. Find the unit vector in the direction of the vector veca=hati+hatj+2ha...

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  5. Find the unit vector in the direction of vector vec(PQ), where P and Q...

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

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  7. Find the value of x for which x(hati + hatj + hatk) is a unit vector.

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  8. Find the unit vector in the direction of the sum of the vectors veca=2...

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  9. Find the direction cosines of the vector veci+2vecj+3veck ।

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  10. Find the direction cosines of the vector joining the points A(1,2,-3) ...

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  11. Show that the points A(1,2,7), B(2,6,3) ਅਤੇ C(3,10,-1) are collinear.

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  12. Show that the vectors 2hati-3hatj+4hatk and -4hati+6hatj-8hatk are col...

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  13. Find the position vector of the mid point of the vector joining the po...

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

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

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

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