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

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ACCURATE PUBLICATION-VECTOR ALGEBRA-QUESTIONS CARRYING 2 MARKS
  1. Show that the points : A(-2hati+3hatj+5hatk), B(hati+2hatj+3hatk) and ...

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  2. Show that . the points (2. 6, 3), (1, 2, 7) and (3, 10, -1) are collin...

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

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

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  5. Find the angle between two vectors veca and vecb with magnitudes sqrt3...

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  6. For any two vectors veca and vecb, prove that |veca.vecb|le|veca||vec...

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  7. For any two vectors veca and vecb, prove that : |veca+vecb|le|veca|+|v...

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  8. If |veca|=3, |vecb|=4 and |vecc|=5 and each of them is perpendicular ...

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  9. If |veca|=2, |vecb|=3 and |vecc|=4 and each of them is perpendiculart...

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  10. If |veca|=7, |vecb|=1 and |vecc|=5 and each of them is perpendicular ...

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  11. Let veca,vecb,vecc be the three vectors of magnitude 5, 3, I respectiv...

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  12. Find the scalar projection of : veca=2hati-hatj-3hatk on vecb=3hati-5h...

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  13. Find the scalar projection of : veca=7hati+3hatj+6hatk on vecb=5hati-2...

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  14. Find the scalar projection of vecb on veca where : veca=2hati-2hatj+ha...

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  15. Find the scalar projection of vecb on veca where : veca=2hati+2hatj+ha...

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  16. Find the scalar projection of vecb on veca where : veca=2hati+2hatj-ha...

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  17. The projection of the vector veca=2hati+3hatj+2hatk on the vector vecb...

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  18. If veca=2hati-2hatj+hatk,vecb=hati+2hatj-2hatk and vecc=2hati-hatj+4ha...

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  19. If veca=2hati-2hatj+hatk,vecb=hati+2hatj-2hatk and vecc=2hati-hatj+4ha...

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  20. If veca=2hati-2hatj+hatk , vecb=2hati-hatj+4hatk , and vecc=hati+2hatj...

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