The vector equations of two lines `L_(1)` and `L_(2)` are respectively `r=17i-9k+lamda(3i+j+5k)` and `r=15i-8j+k+mu(4i+3j)`. Then the correct statement(s) is/are:

Options

A. `(-11,11,1)` is the point of intersection of `L_(1)` and `L_(2)`
B. `(11,-11,-1)` is the point of intersection of `L_(1)` and `L_(2)`
C. `L_(1)` and `L_(2)` are skew lines
D. `cos^(-1)(3/(sqrt(35)))` is the acute angle between `L_(1)` and `L_(2)`

Explanation

To solve the problem, we need to analyze the vector equations of the two lines \( L_1 \) and \( L_2 \) given as:

1. \( r = 17i - 9k + \lambda(3i + j + 5k) \) (Equation of line \( L_1 \))
2. \( r = 15i - 8j + k + \mu(4i + 3j) \) (Equation of line \( L_2 \))

### Step 1: Extract Direction Vectors and Points
From the equations, we can identify the direction vectors and points on each line.

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