Please provide a step by step solution. Thank you so much for your support! two

Question

Please provide a step by step solution. Thank you so much for your support! two displacements, one of magnitude 3 m and another of magnitude 4 m. Show how the displ may be to get a resultant dis (a) 7m O If a and b are parallel to each other O If a and b are antiparallel to each other O If a and b are perpendicular to each other O cannot happen (b) 1 m O if a and b are parallel to each other if a and b are antiparallel to each other O if a and b are perpendicular to each other O cannot happen (c) 5m O if a and b are parallel to each other to each other if a and b are perpendicular to each other

Explanation / Answer

A)

a+b = (5.5-1)m i hat + (-4.5+1)m j hat +(1+3.5)m k hat

a+b = 4.5m i hat - 3.5m j hat + 4.5m k hat

B) a-b = (5.5+1)m i hat + (-4.5-1)m j hat + (1-3.5)m k hat

a-b = 6.5m i hat - 5.5m j hat - 2.5m k hat

C) Given that a-b+c = 0

c = -a+b = -(a-b) = -6.5m i hat + 5.5m j hat = 2.5m k hat

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