Question 1: Calculate the displacement vector when moving from point A at (2, 3) to point B at (5, 7).

Answer: 3, 4

Question 2: A pattern shifts from position (4, 2) to (1, 5). Find the displacement vector.

Answer: -3, 3

Question 3: Construct a vector diagram showing movement from (1, 1) to (4, 4). What is the displacement vector?

Answer: 3, 3

Question 4: In an art pattern, a tile at (6, 2) is shifted to (3, 5). What is the displacement vector? Show your working.

Answer: -3, 3

Question 5: Plot the points A(2, 4) and B(6, 7). Draw and measure the displacement vector from A to B.

Answer: 4, 3

Question 6: A pattern shifts from position (5, 8) to (2, 3). Determine the displacement vector and explain its significance in the pattern's movement.

Answer: Displacement vector is (-3, -5). It shows the pattern moved 3 units left and 5 units down.

Question 7: A piece of artwork has elements at points (3, 9) and (7, 2). Find the displacement vector when moving from the first to the second element.

Answer: 4, -7

Question 8: In a pattern, a tile at (1, 2) shifts to (-2, 5). What is the displacement vector? Show your working.

Answer: -3, 3

Question 9: Challenge: A design element moves from (8, 5) to (3, -2). Calculate the displacement vector and interpret its meaning in the context of pattern movement.

Answer: Displacement vector is (-5, -7). It indicates a move 5 units left and 7 units down.

Question 10: Identify and correct the mistake: A student calculates displacement from (2, 3) to (5, 7) as (-3, -4).

Answer: Incorrect. Displacement is (3, 4), not (-3, -4). The student reversed the direction.

Question 11: Construct a pattern shift on the grid: move from (0, 0) to (3, -2). Use this to create a repeating pattern in art design.

Answer: Displacement vector: 3, -2. Students can replicate the pattern by shifting other elements similarly.