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in Three-dimensional geometry by (33.2k points)

Let L1: (x – x1)/a1 = (y – y1)/b1 = (z – z1)/c1

and L2: (x – x2)/a= (y – y2)/y2 = (z – z2)/c2

are perpendicular or, if a1a2 + b1b2 + c1c2 = 0

and parallel if a1/a2 = b1/b2 = c1/c

Let L1: (1 – x)/3 = (7y – 14)/25 = (z – 3)/2

and L2: (7 – 7x)/3p = (y – 5)/1 = (6 – z)/5 

If L1 meets L2 at right angles, the value of (11p – 64) is

(a) 5 

(b) 6 

(c) 7 

(d) 8

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