How close to the goal can the rabbit let tortoise approach

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1. Given that A= 2i + 3j + K and B= i + 3j + 2k, determine the angle between A×B and the z-axis?

2. Argue that A·(A×B) = 0. In three dimensions find the expression of A×B in terms of vector components and i, j and k. 3. A rabbit and a tortoise compete in a race over a course 1.00 km long. The tortoise crawls straight and steadily at its maximum speed of 0.200 m/s toward the finish line. The rabbit runs at its maximum speed of 8.00 m/s toward the goal for 0.800 km and then stops to tease the tortoise. How close to the goal can the rabbit let the tortoise approach before resuming the race?

Reference no: EM13997604

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