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If D is the midpoint of the side BC of a...

If D is the midpoint of the side BC of a triangle ABC then `bar(AB)^(2)+bar(AC)^(2)=`

A

`bar(AD)^(2)+bar(BD)^(2)`

B

`2(bar(AD)^(2)+bar(BD)^(2))`

C

`3(bar(AD)^(2)+bar(BD)^(2))`

D

`4(bar(AD)^(2)+bar(BD)^(2))`

Text Solution

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The correct Answer is:
B
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AAKASH SERIES-PROPERTIES OF VECTORS-PRACTICE EXERCISES
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  2. If D, E are the midpoints of AB, AC of Delta ABC, then vec(B)E + vec(D...

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  3. If D is the midpoint of the side BC of a triangle ABC then bar(AB)^(2)...

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  4. Find the area of the parallelogram whose adjacent sides are bar(a) = 2...

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  5. If the diagonals of a parallelogram are bar(i)+5bar(j)-2bar(k) and -2b...

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  6. Let bar(a), bar(b), bar(c), bar(d) be the position vectors of A, B, C ...

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  7. If bar(a), bar(b) represent bar(AB), bar(BC) respectively of a regular...

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  8. When a right handed rectangular cartesian system oxyz is rotated about...

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  9. The P.V.'s of A, B are bar(a), bar(b) respectively. The P.V. of 'C' is...

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  10. The P.V.'s of A, B are bar(a), bar(b) respectively. The P.V. of 'C' is...

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  11. The vector equation to the line through the point (2, 3, 1) and parall...

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  12. Find the vector equation of the line passing through the points 2bar(i...

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  13. Cartesian equation of the line passing through the points bar(a)=2bar(...

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  14. The cartesian equation of the line passing through the points bar(a)=(...

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  15. Find the vector equation of the line passing through the points bar(i)...

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  16. The vector equation of the plane passing through the point 2bar(i)+2ba...

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  17. The vector equation of the plane passing through the origin and the po...

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  18. If 2bar(i)-bar(j)+bar(k), bar(i)-3bar(j)-5bar(k), 3bar(i)-4bar(j)-4bar...

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  19. The vector equation of the line passing through the point 2bar(i)+bar(...

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  20. If A(bar(i)+2bar(j)+3bar(k)), B(-bar(i)-bar(j)+8bar(k)), C(-4bar(i)+4b...

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