OCR MEI Paper 2 2021 November — Question 6

Exam BoardOCR MEI
ModulePaper 2 (Paper 2)
Year2021
SessionNovember
TopicVectors Introduction & 2D

6 You are given that \(\mathbf { v } = 2 \mathbf { a } + 3 \mathbf { b }\), where \(\mathbf { a }\) and \(\mathbf { b }\) are the position vectors
\(\mathbf { a } = \binom { 5 } { 3 }\) and \(\mathbf { b } = \binom { - 1 } { 6 }\).
  1. Determine the magnitude of \(\mathbf { v }\).
  2. Determine the angle between \(\mathbf { v }\) and the vector \(\binom { 1 } { 0 }\).