If a= 2i + 3j + k and b = i + 5j − 4k , calculate:
i) a ∙ (b + a).
ii) the angle between (2a + b) and (a − b)
c) Find the parametric equation of the line that passes through points S (2,-1,3) and T (-1, 1, -2)
b) A couple estimates that the expenses of caring for their baby increased by RM65 from the previous month’s expenses. The cost for the first month when the baby was born was RM1000.
i) What are the values of a and d?
ii) Find the total expenses for the first two years.
c) Given a sequence 40, 20, 10. State whether the sequence is arithmetic or geometric.
d) The second term and the fourth term of a geometric progression are 1 and 49 respectively, determine the first term and the common ratio.
Trending now
This is a popular solution!
Step by step
Solved in 4 steps
