Answer the following question about vectors:

If a = (i) , write down the vector: a in the same direction as a and twice its length I: in the opposite direction to a and half its length. Find a vector v which has: 2 a the same direction as (_1 ) and length 3 units 1 b the opposite direction to (_4 ) and length 2 units. Prove that P(2, 1, 1), 0(5, 5, 2), and R(1, 7, 4) are collinear. A(2, 3, 4), B(11, 9, 7), and C(13_. a, b) are collinear. Find a and b. K(1, 1, 0), L(4. 3_. 7), and M(a, 2, b) are collinear. Find a and b