Question
Find the angle between the lines whose direction ratios
are a, b, c and b − c, c − a, a − b.Solution

Length of a train, whose speed is 36 km/h, is 180 metres. Find the time taken (in seconds) by train to cross a bridge of length 120 metres.
A 500-metre long train takes 10 seconds to cross a pole. If it takes 35 seconds to cross a bridge, then find the length of the bridge.(in km)
A goods train leaves a station at a certain time and at a fixed speed. After 12 hours, an express train leaves the same station and moves in the same di...
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A train 460 metres long is running at a speed of 54 km/hr. If it crosses a tunnel in 1 minute, then the length of the tunnel (in meters) is:
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Two trains start from station A and B travel towards each other at speed of 50 kmph and 60 kmph respectively. At the time of their meeting, the second t...
Train A, at 90 km/h, crosses a pole in 8 seconds. Find the time to cross a train which is 25% shorter than Train A, coming from the opposite direction a...