Let T be a tetrahedron in "standard" position, with three edges along the three positive coordinate axes in R3, and suppose the vertices are ae¡, be2, ce3, and 0, where [e e, e; ] = I3. ez ] = 13. Find formulas for the barycentric coordinates of an arbitrary point p in R3.

Find c, and c, for the inner product of R2 given by (u, v) = cqu1vị + c2u2V2 such that the graph represents a unit circle as shown. (C1, c2) = y 2 ||u|| = 1 1

12. y = -x + 2x - 4 Axis of Symmetry: Vertex: Sketch:

Q2. Consider a unit square with vertices A (0, 2) B (1, 1) C (1, 2) and D (0, 0). Find the resultant vertices A', B', C' and D' of the transformed square after the following transformations. Sh = 1.5, yref =-3 Shy =3, Xref= -4 iii. i. ii. Reflection on X-axis