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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 `hati+2hatj-hatk and -hati+hatj+hatk` respectively, in the ratio `2:1` internally

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The correct Answer is:
`(-1)/(3)hati+(4)/(3)hatj+(1)/(3)hatk`
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BETTER CHOICE PUBLICATION-VECTOR ALGEBRA -ASSIGNMENT MOST IMPORTANT QUESTIONS FOR PRACTICE (SECTION II) SHORT ANSWER TYPE QUESTIONS
  1. Write unit vector in the direction of the sum of vectors veca=2hati+...

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  2. Write unit vector in the direction of the sum of vectors veca=2hati+...

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  3. Write a vector of magnitude 9 units in the direction of vector -2hati+...

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  4. Write a vector of magnitude 6 units in the direction of vector 2hati-h...

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  5. Find a vector of magnitude 5 units, and parallel to the resultant of t...

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  6. Find the direction cosines of the vector -2hati+hatj-5hatk.

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  7. Show that the direction cosines of a vector equally inclined to the ax...

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  8. Show that the vector veci+vecj+veck is equally inclined to the axes O...

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  9. Write the direction ratios of the vector r=hati-hatj+2hatk and hence c...

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  10. If P = (1, 5, 4) and Q = (4, 1, -2) then find the d.r. of PQ.

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  11. Find the direction cosine of the line joining the points (1,0,0) and (...

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  12. Find the value of 'p' for which the vector 3hati+2hatj+9hatk and hati-...

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  13. Find the condition that veca=xhati+yhatj and vecb=yhati+xhatj (because...

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  14. Show that points A(-2,1),B(-5,-1) and C(1,3) are collinear.

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  15. If veca=-2hati+3hatj+5hatk,vecb=hati+2hatj+3hatkandvecc=7hati-hatk are...

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  16. Show that the points with position vectors veca=3hati-4hatj-4hatk,vecb...

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  17. Find the position vector of mid point of the line segment AB where A i...

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

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

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  20. Find veca.vecb If veca=2hati-hatj+hatk and vecb=2hatj-hatk.

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