JEE Main20208 Jan 2020Morning ShiftMathematicsThree Dimensional GeometryActual

The shortest distance between the lines x - 3 3 = y - 8 - 1 = z - 3 1 and x + 3 - 3 = y + 7 2 = z - 6 4 is

Options

A2 30
B7 2 30
C3 30
D3

Correct answer

C. 3 30

Step-by-step solution

w → = i ^ + j ^ – 3 k ^ p → = 3 i ^ - j ^ + k ^ q → = - 3 i ^ + 2 j ^ + 4 k ^ p → × q → = i j k 3 - 1 1 - 3 2 4 = 6 i ^ - 15 j ^ + 3 k ^ S . D . = | A B . p × q | p × q = 36 + 225 + 9 36 + 225 + 9 = 3 30

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