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Find the position vector of a point R which divides the line joining two points P and Q whose position vectors are ` hat i+2 hat j- hat k`and `- hat i+ hat j+ hat k`respectively, in the ratio 2 : 1(i) internally (ii) externally

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Find the position vector of point R which divides the line joining the points P and Q whose position vectors are 2 hat(i) - hat(j) + 3 hat(k) and -5 hat(i) + 2 hat(j) - 5 hat(k) in the ratio 3 : 2 (i) internally (ii) externally.

Find the position vector of a point R which divides the line joining two points P and Q whose position vectors are hat i+2hat j-hat k and respectively,in the ratio 2:1(i) internally (ii) externally

Write the position vector of a point dividing the line segment joining points having position vectors hat i+hat j-2hat k and 2hat i-hat j+3hat k externally in the ratio 2:3 .

Find the distance between the points A and B with position vectors hat i-hat j and 2hat i+hat j+2hat k.

Show that the points whose position vectors are 5hat i+5hat k,2hat i+hat j+3hat k and -4hat i+3hat j-hat k are collinear

Find the vector and Cartesian equations of the line joining the points whose position vectors are (hat(i) -2hat(j) +hat(k)) " and " (hat(i) +3hat(j) -2hat(k))

A unit vector perpendicular to the plane passing through the points whose position vectors are hat i-hat j+2hat k,2hat i-hat k and 2hat i+hat k is

Find the image of the point having position vector hat i+2hat j+4hat k in the plane vec r*(2hat i-hat j+hat k)+3=0

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MODERN PUBLICATION-VECTOR ALGEBRA -Ncert File Question from Ncert Book (Exercise 10.2)
  1. Compute the magnitude of the following vectors: -> a= hat i+ hat j+ h...

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  2. Write two different vectors having same magnitude.

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  3. Write two different vectors having same direction.

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  4. Find the values of 'x' and 'y' so that vectors 2hat(i)+3hat(j) and x h...

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

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  6. Find the sum of the vectors vec(a)=hat(i)-2hat(j)+hat(k), vec(b)=-2...

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  7. Find the unit vector in the direction of the vector vec a= hat i9+...

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  8. Find the unit vector in the direction of vector -> P Q , where ...

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  9. For given vectors, -> a=2 hat i- hat j+2 hat kand -> b=- hat i+ hat...

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  10. Find a vector in the direction of vector 5 hat i- hat j+2 hat kwhich ...

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  11. Show that the vectors 2 hat i-3 hat j+4 hat k\ a n d-4 hat i+6 hat j-8...

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  12. Find the direction cosines of the vector hat i+2 hat j+3 hat kdot

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

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  14. Show that the vector hat i+ hat j+ hat kis equally inclined to the a...

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

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  16. Find the position vector of the mid point of the vector joining the ...

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  17. Show that the points A ,\ B\ a n d\ C with position vectos vec a=3 ha...

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  18. In triangle ABC, which of the following is not true :

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  19. If vec(a) and vec(b) are two collinear vectors, then which of the foll...

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