Find the unit vector directed   from (2, -5, -2) toward (14, -5,3)   a. a = 0.3858, +0.923a, b         b=a0.3858,0.9238,   c. =a 0.923a, 0385a,              d=a 0.923a, +0.385a

Express the vector v =-1 as a linear combination of the vectors --3 V1 0,v2 4 and v3 -4 , if possible. Show all of the steps that you used %3D 3 -2 11 in obtaining your solution. 3.

Show the diagram with labels and all the work necessary please!

a. Write the vector (8, 5, 30) as a linear combination of a₁ = (4, -4,1), d₂ = (4, -5, 5) and d3 = (0, -4,-4). Express your answer in terms of the named vectors. Your answer should be in the form 4ả₁ +52 + 6ả3, which would be entered as 4a1 + 5a2 + 6a3. (8,5, 30) = b. Represent the vector (8,5,30) in terms of the ordered basis B = {(4,-4, 1), (4, −5, 5), (0, -4,-4)}. Your answer should be a vector of the general form . [(8, 5, 30)] B =