Question

In matrix form, write the coordinates of each image of the triangle with vertices A(3,1) B(-2,0), and C(1,5).
27.A translation 3 units left and 4 units up.



29.A reflection across the the line y = x




31.A dilation twice the original size.



Let u = (-3,4), v = (2,3), and w = (4, -1). Write each resulting vector in component form and find the magnitude.
33.u + v



35.3u


37.1/2v+ 3u

Find the dot product of each pair of vectors and determine whether they are normal.
39.(4, -3) and (-3,-4)

Answer 1

@kirbykirby
These are the ones I need help on. If you can do 1 for each section, I think I will be able to handle the rest. :)

Answer 2

for the translation, going to the left 3 units, means the x-coordinate moves to the left 3 units (so subtract 3), and going up 4 units means the y-coordinate moves up 4 units (so add 4)