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Find the coordinates of the points R whi...

Find the coordinates of the points R which divides the line segment joining the point `P(2,-2,-4)andQ(3,-2,5)` externally in the ratio 3:2.

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The correct Answer is:
`(5,-2,23)`
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NAVNEET PUBLICATION - MAHARASHTRA BOARD-VECTORS-Examples for Practics
  1. If bar(a),bar(b)andbar(c) are the position vectors of the points A,B a...

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  2. Find the coordinates of the points R which divides the line segment jo...

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  3. If the vectors 3hat(i)-5hat(j)+hat(k)and9hat(i)-15hat(j)+phat(k) are c...

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  4. If bar(p)=hat(i)-2hat(j)+hat(k)andbar(q)=hat(i)+4hat(j)-2hat(k) are po...

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  5. Find the position vector of R which divides the line segment joining t...

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  6. If bar(a),bar(b),bar(c) are the position vectors of the points A(1,3,0...

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  7. If G(a,2,-1) is the centroid of the triangle with vertices P(1,3,2),Q(...

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  8. If the points A(2,p,1),B(1,2,q) and C(3,2,1) are collinear, then find ...

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  9. Express bar(p) as a linear combination of bar(a),bar(b)andbar(c), wher...

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  10. Express the vector bar(a)=9hat(i)+hat(j)+2hat(k) as a linear combinati...

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  11. If bar(a),bar(b),bar(c) are non-zero, non -coplanar vectors, then show...

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  12. If bar(a)+lamdabar(b)+3bar(c),-2bar(a)+3bar(b)-4bar(c),bar(a)-3bar(b)+...

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  13. D, E, F are the midpoints of the sides BC, CA and AB respectively of t...

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  14. Show that if bar(AB)=bar(DC), then the figure ABCD is a parallelogram.

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  15. If G is the centroid of triangleABC and O is any point in the plane of...

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  16. Find [bar(a)bar(b)bar(c)] where : (1) bar(a)=2hat(i)+hat(j)-hat(k),b...

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  17. If bar(a)=hat(i)+hat(j)+hat(k),bar(b)=2hat(i)+qhat(j)+hat(k),hat(c)=ha...

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  18. Show that the vectors hat(i)-hat(j)-6hat(k),hat(i)-3hat(j)+4hat(k)and2...

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  19. Find the volume of the parallelopiped whose coterminus edges are : (...

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  20. Find lamda, if the vectors bar(a)=hat(i)+hat(j)+hat(k),bar(b)=hat(i)-h...

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