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Find the position vector of the mid-poin...

Find the position vector of the mid-point of the vector joining the points P (2, 3, 4) and Q (4, 1, 2)

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What is the position vector of the mid-point of the line segment joining the points A(2,3,4) and B(4,1,-2).

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Position vector of mid point of vector joining the points P(2,3,6) and Q(4,5,-2) is : veca.vecb

Find the direction ratios and direction cosines of the vector joining the points (4,7,2) and (5,11,-4).

Find the position vector of the point which divides the join of the points (2veca - 3vecb) and (3veca - 2vecb) (i) internally and (ii) externally in the ratio 2 : 3 .

Find the position vector of the point R which divides the line (segment) joining the two points P and Q with position vectors vec(OP) = 2 vec a+ vec b and vec (OQ) = vec a-2 vec b respectively, in the ratio 1: 2. (i) internally (ii) externally. ‘

PRADEEP PUBLICATION-VECTORS-EXERCISE
  1. Find the position vector of a point R which divides the line joining t...

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

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  3. Find the position vector of the mid-point of the vector joining the po...

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  4. Show that the points A, B and C with position vectors, vec a= 3hat i-4...

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  5. If vec a and vec b are two collinear vectors then which of the followi...

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

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  7. Find the angle between the vectors hat i -2 hatj +3 hat k and 3 hat i ...

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  8. Find the projection of the vector hat i - hat j on the vector hat i +...

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  9. Find the projection of the vector hat i +3 hat j +7 hatk on the vector...

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  10. Show that each of the given three vectors is a unit vector : 1/7 (2 ha...

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  11. Find |vec a| and |vec b| lf(veca + vec b)*(vec a-vec b)=8 and |vec a |...

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  12. Evaluate the product (3 vec a-5 vec b)*(2 vec a+7 vec b).

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  13. Find the magnitude of two vectors veca and vecb, having the same magni...

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  14. If vec a =2 hat i + 2 hat j +3 hat k, vec b=-hat i + 2 hat j +hat k t...

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  15. Show that |vec a|vec b + |vec b|vec a perpendicular to |vec a|vec b - ...

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  16. If |a|=5,|a-b|=8 and |a+b|=10, then |b| is equal to

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  17. If vec a, vec b, vec c are unit vectors such that vec a+ vec b+ vec c ...

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  18. If either vector veca = 0or vecb = 0, then veca cdot vecb = 0.But the...

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  19. If the vertices A, B, C of a triangle ABC are (1,2,3), (-1,0,0), (0,1,...

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

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