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Question
The end points of a body diagonal of a rectangular parallelepiped whose faces are parallel to the coordinate planes are (2,3,5) and (5,7,10). The lengths of its sides are
The end points of a body diagonal of a rectangular parallelepiped whose faces are parallel to the coordinate planes are (2,3,5) and (5,7,10). The lengths of its sides are
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Solution
The correct option is D 3,4,5
¯AB=3^i+4^j+5^k
−−→AB is the resultant of 3^i (side parallel to x axis), 4^j (side parallel to y axis),5^k(side parallel to x axis)So (3,4,5) are lengths of sides.
¯AB=3^i+4^j+5^k
−−→AB is the resultant of 3^i (side parallel to x axis), 4^j (side parallel to y axis),5^k(side parallel to x axis)
So (3,4,5) are lengths of sides.
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