a man starts from A=2icap+3jcap+4kcap to B=4icap+6jcap+8kcap how to find displacement
Answers
Answer: displacement = (2i^ + 3j^ + 4k^) units
Explanation: in order to find displacement, one simply has to use the formula => final position - initial position. This yields you the exact displacement. So to show you, the exact calculation would be :
Final position - initial position
= 4i + 6j + 8k - (2i + 3j + 4k)
= 4i + 6j + 8k - 2i - 3j - 4k
= (4i - 2i) +( 6j - 3j) + (8k - 4k)
= (2i + 3j + 4k) units
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Given :
▪ Initial position A = 2i + 3j + 4k
▪ Final position B = 4i + 6j + 8k
To Find :
▪ Displacement of man.
Displacement :
☞ Displacement is defined as the shortest distance b/w initial and final position.
☞ It is a vector quantity.
☞ It has both magnitude as well as direction.
☞ It can be positive, negative or zero.
☞ SI unit : m
☞ In other words,
Displacement = vector drawn from initial to final position of body
Calculation :
→ Displacement (d) = ΔPosition = Final position - initial position
→ d = (4i + 6j + 8k) - (2i + 3j + 4k)
→ d = 2i + 3j + 4k unit