Answer:
w1 = (-1/11, 1/11, -3/11)
w2 = (12/11, 21/11, 3/11)
Step-by-step explanation:
Direction ratio of w1 = Direction ratio of L (because parallel) = K+(1, -1, 3)
Let <a,b,c> be direction ratio of w2.
Then, <a,b,c>. <1,-1,3> = 0
a-b+3c = 0
v = w1 + w2
(1, 2, 0) = k(1, -1, 3) + (a, b, c)
a + k = 1
b - K = 2
c - 3k = 0
Solving 4 equations, a = 12/11, b= 21/11, c = 3/11, k=-1/11
So, w1 = -1/11(1, -1 ,3) = (-1/11, 1/11, -3/11)
w2 = (12/11, 21/11, 3/11)