Question
\(p =\binom{0}{9}\) \(q =\binom{3}{-5}\) \(r =\binom{-4}{3}\)
Calculate
(a) 7p,
Answer/Explanation
Ans: \(\binom{0}{63}\)
(b) q – r .
Answer/Explanation
Ans: \(\binom{7}{-8}\)
Question
(a) Write down the co-ordinates of point A.
(b) Write \(\overrightarrow{AB}\) as a column vector.
(c) \(\overrightarrow{AC}=\binom{2}{3}\)
Write down the co-ordinates of C.
Answer/Explanation
(a) (–1, 2)
(b)\(\binom{4}{-5}\)
(c) (1, 5)
Question
\(a=\binom{4}{3}\) \(b = \binom{-2}{0}\) \(c = \binom{1}{-5}\)
Find
(a) 4a,
(b) b – c.
Answer/Explanation
Ans:
(a) \(\binom{16}{12}\)
(b) \(\binom{-3}{5}\)
Question
Write each of the following as a single vector.
(a) \(\binom{6}{1}+\binom{-4}{2}\)
(b) \(4\binom{2}{-3}\)
Answer/Explanation
Ans:
(a) \(\binom{2}{3}\)
(b) \(\binom{8}{-12}\)
Question
\(a = \binom{4}{-3}\) \(b = \binom{-1}{5}\)
Work out a – 2b.
Answer/Explanation
Ans: \(\binom{6}{-13}\)