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For The Mathematically Inclined

Anil Saigal
08/26/2013

PROBLEM #1

Find the coordinates of the point where the line through (3, - 4, - 5) and (2, - 3, 1) crosses the plane, passing through the points (2, 2, 1), (3, 0, 1) and (4,-1,0) 

PROBLEM #2
What is the area  of the triangle ABC with vertices A (1, 2, 3), B (2, -1, 4) and C (4, 5, -1)?

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Please send your solutions to mr.asaigal@gmail.com.

Use Problem Solutions M-082913 as the subject line. Please include your full name in the text of the main message. Everyone with the right answer will be acknowledged in the next issue of Lokvani.

Please do not post your solution in Post Comments. No credit will be given for solutions not sent to anil@lokvani.com.

If you need clarification on any problem, please contact anil@lokvani.com.

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Problems from 08/15/13

PROBLEM #1
An flight left 30 minutes later than its scheduled time and in order to reach
the destination 1500
miles away in time, it has to increase its speed by
250
miles/hr from the usual speed. What is its usual speed?

SOLUTION 1
750 mph. 

PROBLEM #2
The students of a class are made to stand in rows. If three more students are added to each row, there would be two rows less. If there was one less student in each row, would be one row more. What is the number of students in the class?

SOLUTION 2
72. 

Congratulations to Kishore Balsara and Lalit Doshi, who were the winners of the last set of puzzles.



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