A cat is situated at a point `A(0,3,4)` and rat is situated at point ` – InterviewSolution

InterviewSolution

1.	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.A. 5 unitB. 12 unitC. 13 unitD. 17 unit
Answer» (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

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