- #1

pondzo

- 169

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T3 rotates clockwise through an angle of 3π/4 radians about the x axis

The point (-3, -4, -3) is first mapped by T2 and then T3. what are the coordinates of the resulting point?

this question is on a program call Calmaeth. My answer for this question is (-3,0,-√2/2). The program says its wrong but i have checked thoroughly many times and cannot find my mistake.

My transformation matrix for T2 is ##

\begin{pmatrix}

1 & 0 & 0 \\

0 & 0 & 0 \\

0 & 0 & 1

\end{pmatrix}

## and for T3 is ##

\begin{pmatrix}

1 & 0 & 0 \\

0 & \frac{-1}{√2} & \frac{1}{√2} \\

0 & \frac{-1}{√2} & \frac{-1}{√2}

\end{pmatrix}

##

To get the resulting standard matrix, i did T3*T2 and then multiplied this matrix by the point (-3, -4, -3) to get the resulting point.

Can anyone see where i went wrong if i did? (also to let you know, the program said my matrices for T2&T3 were correct)