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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

`sqrt(18)`

B

`sqrt(72)`

C

`sqrt(33)`

D

`sqrt(288)`

Text Solution

Verified by Experts

The correct Answer is:
C
PV of `AD=((3+5)hati+(0-2)hatj+(4+4)hatk)/(2)`
`=4hati-hatj+4hatk`
`|AD|=sqrt(16+16+1)=sqrt(33)`
.
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  14. If the figure formed by the four points hati+hatj-hatk,2hati+3hatj,3ha...

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