A hunter is -4-1-5- units- He observes two preys P-1-1-2-0- and P-2-1-1-4- respectively- At zero instant he starts moving in the plane of their positions with uniform speed of 5- - s-1- in a direction perpendicular to line P-1-P-2- till he sees P-1- and P-2- collinear time T- Time T is0-53 -s0-35 -s0-73 -s0-92 -s

Question

Toppr Admin · Accepted Answer

Let-A be the vector acting along hunter and P1 andB be the vector acting along P1 and P2Also-R be the vector of velocity with which-xA0-hunter travels perpendicular to P1-P2Then-x2192-A-x2212-1-x2212-4-i-2-1-j-0-x2212-5-k-x2212-5-i-3-j-x2212-5-k and-x2192-B-1-1-i-1-x2212-2-j-4-x2212-0-k-2-i-x2212-j-4-k-xA0-

Let,A be the vector acting along hunter and P1 andB be the vector acting along P1 and P2Also,R be the vector of velocity with which hunter travels perpendicular to P1.P2Then,→A=(−1−4)^i+(2+1)^j+(0−5)^k=−5^i+3^j−5^k and→B=(1+1)^i+(1−2)^j+(4−0)^k=2^i−^j+4^k