A cat is situated at a point `A(0,3,4)` and rat is situated at point `B(5,0,-8)`. The car is free to move but the rat is always at rest. Find the minimum distance travelled by cat to catch the rat.

Options

A. 5 unit
B. 12 unit
C. 13 unit
D. 17 unit

Explanation

(c) The minimum distance
`=` The magnitude of displacement of cat `=|r_(B)-r_(A)|`
Here `r_(B)=5hati-8hatk, r_(A)=3hati+4hatk`
`:.s=r_(B)-r_(A)=5hati-3hatj-12hatk`
`:.|s|=sqrt((5)^(2)+(-3)^(2)+(-12)^(2))`
`=sqrt(25+9+144)`
`=13.34~~13` unit