Practice variation 2 of 3
Vectors — Dot identity with vector components stated
Your question
(i) For a vector , show that .
(ii) In the trapezium , and . Let , and with . Using part (i), show that .
This practice question was inspired by Question 14(c) in the 2021 NSW HSC Mathematics Extension 1 examination, © NESA. It is an original TestMum variation that practises the same mathematical idea, not an official NESA question.
Before you check
- Have you stated every choice or assumption?
- Can another student follow each line?
- Did you verify the final result independently?