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The vectors vec(AB)=3hati+4hatk and vec(...

The vectors `vec(AB)=3hati+4hatk and vec(AC)=5hati-2hatj+4hatk` are the sides of a triangle ABC. The length of the median through A is (A) `sqrt(72)` (B) `sqrt(33)` (C) `sqrt(2880` (D) `sqrt(18)`

A

`sqrt13` units

B

`2sqrt5` units

C

5 units

D

10 units

Text Solution

Verified by Experts

The correct Answer is:
C
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The vector vec(AB)=3hati+4hatk and vec(AC)=5hati-2hatj+4hatk are sides of a triangle ABC. The length of the median through A is (A) sqrt(18) (B) sqrt(72) (C) sqrt(33) (D) sqrt(288)

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If the vectors vec(AB)=3hati+4hatk and vec(AC)=5hati-2hatj+4hatk 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(45)

DISHA PUBLICATION-VECTOR ALGEBRA-EXERCISE -1 : CONCEPT BUILDER
  1. If the position vectors of the vertices A,B and C of a DeltaABC are 7h...

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  2. If veca = 3hati - hatj - 4hatk , vecb = -2hati + 4hatj - 3hatk and vec...

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  3. The vectors vec(AB)=3hati+4hatk and vec(AC)=5hati-2hatj+4hatk are the ...

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  4. If two vertices of a triangle are i-j and j+k , then the third vertex ...

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  5. The figure formed by the four points hati + hatj -hatk, 2hati + 3hatj,...

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  6. If the vector 8hati+ahatj of magnitude 10 is the directionn of the vec...

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  7. If A, B, C are vertices of a triangle whose position vectors are vec ...

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  8. Which of the following is an example of two different vectors with sam...

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  9. veca=3hati-5hatj and vecb=6hati+3hatj are two vectors and vec c is a v...

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  10. If vecp,vecq and vecr are perpendicular to vecq + vecr , vec r + vecp...

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  11. If veca =hati + hatj - hatk, vecb = 2hati + 3hatj + hatk and vec c = h...

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  12. If hat(i)+hat(j), hat(j)+hat(k), hat(i)+hat(k) are the position vector...

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  13. If veca and vecb are non colinear vectors, then the value of alpha for...

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  14. If angle between veca = hati - 2hatj + 3hatk and vecb = 2hati + hatj ...

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

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  16. Find the unit vector parallel to the resultant vector of 2hati+4hatj-5...

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  17. If the middle points of sides BC, CA and AB of triangle ABC are respec...

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  18. Find the length diagonal AC of a prallelogram ABCD whose two adjacent ...

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  19. If f is the centre of a circle inscribed in a triangle ABC, then |vec...

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  20. Let vec a, vec b and vec c are vectors of magnitude 3,4,5 respectively...

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