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# AQA GCSE Maths 2D vectors  To subtract 2D vectors, reverse the direction of the vector that is subtracted or subtract corresponding coordinates. Two vectors can be multiplied by using a dot product, which can be obtained by multiplying corresponding coordinates and adding the results up. Alternatively, cosine value of an angle between the vectors may be used. The magnitude of a 2D vector is found using Pythagoras' theorem for a right angle triangle, given by M = √(a² + b²). If vectors are multiples of each other, they are parallel to each other. # ✅

Express c in terms of the other vectors. # ✅

Alice is at her house which is at O. She decides to go to the park which is at D. Express her journey as a vector in terms of vectors a and b. # ✅

Subtract a from b if a = (15 16) and b = (10 20). # ✅

Find a − b if a = 4i + 7j and b = 3i − 2j. # ✅

Write vector (1 3) as a column vector. # ✅

Find the magnitude of the vector u if u = (2 6). # ✅

Simplify the expression: # ✅

A bike is heading North at 20 km/h. 30º West of South Wind suddenly starts blowing at 5 km/h. Find the new direction of the bike in regards to North. Round your answer to units. # ✅

Prove that OMN is a straight line. # ✅

Determine the vectors RS and SR if R = (1, 2) and S = (3, 5).  Have you found the questions useful?