Question

The position vectors of two bugs at time t are 3(t-1)i+9t- 1) j and fi+ 2tj. Show that the bugs Note: Change one of the parameters to s, then equate the corresponding coordinates and solve for and s. Use the values of t and s to find the points of intersection. 16.) never collide, but their paths cross twice.

It might be hard to tell, the second vector is t^6 î + 2t^3j

Answer 1

16.) The position vectors of two bugs at time tare 3t-1)i-9t-1j and tfi 2tj Show that the bugs Note: Change one of the parameters to s, then equate the corresponding coordinates and solve for and s. Use the values of and s to find the points of intersection cross twice never collide, but their paths bugs be 3 t-)E +9 -)2j veetors the tw s hene t &s are ammters. The path exnak, therefore 3t) the to bs inteseet, when their prsihm veetavs re So, f.6801; comtspnalim? t valuo ave, t -1,,sVa5 tl, poson For telsns, poshn is (is87l,26) ^ s1 8o, pridm is (158714,2.5») Fni As 0,0), fr bwt 5ine comesponbig s herefrrt og vill tcallde