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The vector bar(AB)=3hati+4hatk and bar(A...

The vector `bar(AB)=3hati+4hatk and bar(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(45)`

D

`sqrt(18)`

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The correct Answer is:
B
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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)

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)

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(33) (B) sqrt(45) (C) sqrt(18) (D) sqrt(720

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)

MCGROW HILL PUBLICATION-VECTOR ALGEBRA-QUESTIONS FROM PREVIOUS YEARS. AIEEE/JEE MAIN PAPERS
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