ABCD is a rhombus where A is the point (1, 2). a. Write the vectors AD (vector)

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ABCD is a rhombus where A is the point (−1, −2).

a. Write the vectors A̅D̅(vector) and D̅C̅(vector) as column vectors.

b. Write the diagonals A̅C̅(vector) and B̅D̅(vector) as column vectors.

c. Use the properties of a parallelogram to find the coordinates of the point of intersection of the diagonals.

d. Find the gradients of the diagonals and hence verify that the diagonals are perpendicular.

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