The vector
- Find
. (1 mark)
--- 4 WORK AREA LINES (style=lined) ---
- Show that
is perpendicular to . (2 marks)
--- 6 WORK AREA LINES (style=lined) ---
Vectors, EXT2 V1 2023 HSC 10 MC
Consider any three-dimensional vectors
Which of the following statements about the vectors is true?
- Two of
and could be unit vectors. - The points
and could lie on a sphere centred at . - For any three-dimensional vector
, vectors and can be found so that and satisfy these three conditions. and satisfying the conditions, and such that and are positive real numbers and .
Vectors, EXT2 V1 EQ-Bank 3
If
- Calculate
(2 marks)
--- 3 WORK AREA LINES (style=lined) ---
- Find
(2 marks)
--- 4 WORK AREA LINES (style=lined) ---
Complex Numbers, EXT2 N2 2021 HSC 10 MC
Consider the two non-zero complex numbers
Which of the following expressions is the projection of
Show Worked Solution
♦♦♦ Mean mark 30%.
Vectors, EXT2 V1 2020 SPEC1 5
Let
The projection of
- Find the value of
. (3 marks)
--- 6 WORK AREA LINES (style=lined) ---
- Find the component of
that is perpendicular to . (1 mark)
--- 3 WORK AREA LINES (style=lined) ---
Vectors, EXT2 V1 2014 SPEC1 1
Consider the vector
- Find the unit vector in the direction of
. (1 mark)
--- 2 WORK AREA LINES (style=lined) ---
- Find the acute angle that
makes with the positive direction of the -axis. (2 marks)
--- 4 WORK AREA LINES (style=lined) ---
- The vector
.
Given that
is perpendicular to find the value of . (2 marks)
--- 2 WORK AREA LINES (style=lined) ---