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If the vector vec(AB) = 3hat(i) + 4hat(k...

If the vector `vec(AB) = 3hat(i) + 4hat(k) and vec(AC) = 5hat(i) - 2hat(j) + 4hat(k)` are the sides of a triangle ABC, then the length of the median through A is-

A

`sqrt(18)`

B

`sqrt(72)`

C

`sqrt(33)`

D

`sqrt(288)`

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The correct Answer is:
C
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MOTION-VECTOR -EXERCISE - 1
  1. Consider points A,B,C and D with position vectors 7hati-4hatj+7hatk, h...

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  2. The vertices of a triangle are A(1, 1, 2), B(4, 3, 1) and C(2, 3, 5). ...

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  3. If the vector vec(AB) = 3hat(i) + 4hat(k) and vec(AC) = 5hat(i) - 2hat...

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  4. If the vector vecb is collinear with the vector vec a ( 2sqrt2,-1,4) a...

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  5. यदि A (-hati + 3hatj + 2hatk) , B (-4hati + 2hatj - 2hatk) तथा C(5ha...

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  6. The vectors 2 hati + 3 hatj , 5 hati + 6hatj and 8 hatj + lambda hatj ...

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  7. If vec a , vec ba n d vec c are three non-zero vectors, no two of whi...

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  8. If veca, vecb,vecc are non-coplanar vectors and lambda is a real numbe...

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  9. The set of values of 'm' for which the vectors vec(a) = mhati + (m + 1...

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  10. यदि |vec a| = 7, |vec a-vec b | = 8 तथा |vec a +vec b| = 10, तब |ve...

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  11. Angle between diagonals of a parallelogram whose side are represented ...

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  12. Let vec(a) , vec(b),vec(c) be vectors of length 3,4,5 respectively. Le...

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  13. The value of 'a' for which the points A, B,C with position vectors ...

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  14. A paticle acted on by constant forces 4hati=hatj-3hatk and 3hati+hatj-...

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  15. Let vec(a), vec(b) and vec(c) be three vectors such that vec(a) + vec...

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  16. If vec(a)= hati - hatj, bar(b) = hat(i) + hat(j), vec(c) = hat(i) + 3h...

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  17. Given the three vectors vec(a) = - 2hati + hat(j) + hat(k), vec(b) = ...

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  18. Let vec a , vec ba n d vec c be three units vectors such that 2 vec a...

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  19. Let vec a = hati+hatj and vec b = 2 hat i - hat k. The point of inters...

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  20. Vectors aa n db make an angle theta=(2pi)/3dot If | vec a|=1,| vec b|=...

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