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If the two lines l 1 : 2 1 y 3 2 x − + = − , z = 2 and l 2 : 2 5 z 3 y 2 1 1 x + = α + = − are perpendicular, then an angle between the lines l 2 and l 3 : 4 z 4 1 y 2 3 x 1 = − − = − is :

1. cos –1 ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ 4 29
2. sec –1 ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ 4 29
3. cos –1 ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ 29 2
4. cos –1 ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ 29 2

Correct answer: sec –1 ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ 4 29

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