Question 1: Given vectors A = [3, 4] and B = [1, -2], find the Resultant vector A + B.

Answer: [4, 2]

Question 2: Calculate the Resultant of the vectors [5, -3] and [-2, 7].

Answer: [3, 4]

Question 3: Plot the vectors A = [2, 1] and B = [-1, 3] on the grid. Then, draw and label the Resultant vector A + B.

Answer: Resultant = [1, 4]

Question 4: If vector P = [x, y] and vector Q = [2, -1], with P + Q = [5, 3], find the values of x and y.

Answer: x=3, y=4

Question 5: Construct a triangle with vectors A = [3, 2], B= [1, -1], and C = [4, 1]. Verify whether the Resultant of A and B equals C.

Answer: Yes

Question 6: Find the Resultant of vectors [7, 0] and [0, -5], then determine the magnitude of the Resultant.

Answer: [7, -5], Magnitude ≈ 8.6

Question 7: A boat drifts with velocity vector [4, 3] km/h downstream and [1, 2] km/h across the river. Find the Resultant velocity vector of the boat.

Answer: [5, 5]

Question 8: Two vectors, A = [-2, 5] and B = [3, -4], are added. If a student mistakenly subtracts B from A, what is the resulting vector? Identify the mistake and correct it.

Answer: Incorrect result: [-5, 9]; Correct result: [-2, 5] + [3, -4] = [1, 1]

Question 9: Challenge: Given vectors A = [x, y] and B = [2, 3], find x and y such that the Resultant A + B has magnitude 10, and the Resultant points in the same direction as the vector [4, 6].

Answer: x=4, y=5