Vectors Addition Examples from Previous Test MCV4U IB AP Maths

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Q1. Two vectors a and b, with magnitude of 4 and 2, have a common starting point with an angle of 60 between them

a. Calculate |a + b|
b. Calculate angle between a and a + b

 
Q2. Determine whether each of the following statement is true or false. Provide explanation

a. ma + na = (m + n)a

b. a + b = a + c implies b = c

c. If |a| = |b| and |c| = |d|, then |a + c| = |b + d|

 
Q3. PQRS is a quadrilateral with , , and . Express QP and SP in terms of a and b.

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