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If one side of a squre be represented by...

If one side of a squre be represented by the vectors `3hati+4hatj+5hatk`, then the area of the square is

A

12

B

13

C

25

D

50

Text Solution

Verified by Experts

The correct Answer is:
D
Let `a=3hati+4hatj+5hatk` then `|a|`
`=sqrt(3^(2)+4^(2)+5^(2))=sqrt(9+16+25)=5sqrt(2)`
Thus, the length of side of square`=5sqrt(2)`
Hence, area of square`=(5sqrt(2))^(2)=25xx2=50`
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