2. Consider the vector v = (1,4,-3).

a. Find a unit vector that is oppositely directed to v

b. Find all scalars k such that || kv || = 20

c. Find a vector that is orthogonal to both v and w = (2,-1,3)

3. Consider the vector v = (1, -3).

a. Find all values of k such that u = (k,6) is orthogonal to v

b. Find all values of k such that u = (k,6) is parallel to v

Show that the two lines

l1 : (3,2,-1) + t(1,6,1) and l2 : (1,0,1) + t(1,-3,-4), wheret R