The discussion revolves around a vector problem involving two boats, P and Q, with initial position vectors (i+7j) km and (3i-8j) km, respectively. Boat P moves southeast at a velocity of (5i-5j) km/h, while boat Q moves at a constant velocity of (6i+5j) km/h. The participants confirm that the velocity of P is indeed (5i-5j) km/h and engage in solving for the time when Q is northeast of P. The key takeaway is that the position vectors must be calculated at time t to determine when Q is northeast of P, requiring a correct understanding of vector subtraction and direction.
PREREQUISITESStudents studying physics or mathematics, particularly those focusing on vector analysis and motion problems, as well as educators looking for examples of vector applications in real-world scenarios.
I get it nowLCKurtz said:Put ##t=1## in your vector. Does it point NE? How about ##t = 2## or ##t=3## etc. The question is, is there any value of ##t## that gives a vector that points NE.