1
-2\\
2
Let $u = \begin{bmatrix} 1\\-2\\2 \end{bmatrix}$, $v = \begin{bmatrix} 2\\4\\4 \end{bmatrix}$, and $w = \begin{bmatrix} -3\\-6\\6 \end{bmatrix}$
f) (3 pts) Verify the Schwarz inequality for every pair of vectors: u&v, u&w, v&w.
g) (6 pts) Verify the triangular inequality for every pair of vectors: u&v, u&w, v&w.
h) (3 points) Find all possible values of x and y bigger than zero in vector, $x = \begin{bmatrix} x\\0\\y \end{bmatrix}$, that
makes it orthogonal to w. Represent x and y or arbitrary parameter, t, which is any real
number and verify your answer.
i) (8 pts) Verify your answers for parts (a) to (e) from P1A & parts (f) to (g) of P1B using
MATLAB. Do not use a semicolon to display all answers in the command window.
