Ask
Login
0
2.3kviews
A rectangle ABCD has vertices A(1,1), B(2,1), C(2,3), D(1,3). It has to be rotated by $30^0$ CCW about point P(3,2). Determine:
written 6.3 years ago by gravatar for teamques10 teamques10 ★ 70k modified 3.7 years ago by gravatar for pedsangini276 pedsangini276 • 4.8k
engineering mathematics
ADD COMMENT EDIT
1 Answer
0
174views
written 6.3 years ago by gravatar for teamques10 teamques10 ★ 70k

(i) The composite transformation matrix

(ii) The new coordinates of rectangle.

Solution:

enter image description here

Steps:

  1. Translate Point P(3,2) to origin O(0,0)

  2. Rotate the object by $ \theta= + 30^o$

  3. Inverse translation of Point P to its original position P(3,2) from origin O(0,0)

Step 1:

Translation Matrix is given as:

$$\left[\mathrm{T}_{\mathrm{r}}\right]=\left[\begin{array}{lll}{1} & {0} …

Create a free account to keep reading this post.

and 2 others joined a min ago.

ADD COMMENT EDIT
Please log in to add an answer.