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Let O A C B be a parallelogram with O at...

Let `O A C B` be a parallelogram with `O` at the origin and`O C` a diagonal. Let `D` be the midpoint of `O Adot` using vector methods prove that `B Da n dC O` intersect in the same ratio. Determine this ratio.

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The correct Answer is:
`2:1`
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MOTION-VECTOR -EXERCISE - 3
  1. Find out whether the following pairs of lines are parallel, non parall...

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  2. Find out whether the following pairs of lines are parallel, non parall...

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  3. Let O A C B be a parallelogram with O at the origin andO C a diagonal....

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  4. Find the shortest distance between the lines : vec(r) = (4hat(i) - ha...

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  5. Let vec(A) = 2hat(i) + hat(k), vec(B) = hat(i) + hat(j) + hat(k) and ...

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  6. Find vector vec(v) which is coplanar with the vectors hat(i) + hat(j...

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  7. Find the point R in which the line AB cuts the plane CDE, where positi...

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  8. The position vectors of the angular points of a tetrahedron are A(3 ha...

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  9. Show that the four points with position vectors4 hat i+8 hat j+12 hat ...

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  10. Examine for coplanarity of the following sets of points 3vec(a) + 2...

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  11. The length of the edge of the regular tetrahedron DABC is 'a'. Point E...

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  12. The position vectors of the four angular points of a tetrahedron ar...

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  13. The position vectors of the four angular points of a tetrahedron ar...

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  14. The position vectors of the four angular points of a tetrahedron ar...

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  15. The position vectors of the four angular points of a tetrahedron ar...

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  16. ABCD is a tetrahedron with pv's of its angular point as A(-5, 22, 5); ...

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  17. Let vec(a) = hat(i) + 2hat(j) + 3hat(k) , vec(b) = 2hat(i) + hat(j) ...

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  18. Let vec(a) = hat(i) + 2hat(j) + 3hat(k) , vec(b) = 2hat(i) + hat(j) ...

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  19. Are the following set of vectors linearly independent? vec(a) = h...

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  20. Are the following set of vectors linearly independent? vec(a) = - 2...

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