1) What is the value found when the vector v is added to the additive identity 0? a) u + v b) u c) v d) 0 2) The formula of the resultant R obtained when two vectors a and b are added together is given by a) √a2 + b2 - ab2 b) √❘a❘2 + ❘b❘2 c) a2 + b2 - a.b d) a × b 3) Which formula correctly states the resultant vector R for the addition of vectors a and -b? a) √❘a❘2 + ❘-b❘2 b) b + a c) a + b d) a2 ✕ b2 4) The value obtained after adding v to -v is ....... a) v b) -v c) 2v d) 0 5) Which one of the following equations is true about vectors? a) a2 + b2 = (a.b) - a2b2 b) (a + b)2 = a2 + b2 - a2b2 c) a.b = a ✕ b d) a + b = b + a 6) A mass explodes and splits into two pieces with the larger piece moving in the north direction at a velocity of 3m/s and the smaller piece moving in the east direction at 4m/s. Find the resultant velocity. a) 2.6m/s b) 5m/s c) 7m/s d) 12m/s 7) Find the addition of vectors PQ and QR, where PQ = (3, 2) and QR = (2, 6) a) (5, 8) b) (1, -4) c) (-1, 4) d) (6, 12) 8) The value of the vector sum for a man that runs 150m along a straight track and 70m in the reverse direction is...... a) 5 b) 10 c) 80 d) 220 9) Find the resulting displacement for a beetle that moves 5m north of east and then 3m south wards. a) 15m b) 8m c) 4m d) 2m 10) A boy takes a rest after walking 3Km in one direction. He then continues to move and covers a further 2.2Km in the same direction. What is the boy's displacement? a) 6.6Km b) 5.2Km c) 1.3 d) 1.2
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4.Demonstrate adding of vectors to determine a resultant
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Physics 10
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