A particle starts from rest at the point A(1, 2, -3)m and reaches at the point
B(3,4,5)m. The magnitude of displacement of man is
a. 7.1 m
b. 3.7 m
c. 3.4 m
d. 8.5 m
Answers
Hey Dear,
◆ Answer -
(d) |AB| = 8.5 m
● Explaination -
Let i, j & k be unit vectors along X-axis, Y-axis & Z-axis.
A = i + 2j - 3k
B = 3i + 4j + 5k
Displacement of the man is calculated by -
AB = B - A
AB = (3i + 4j + 5k) - ( i + 2j - 3k)
AB = 2i + 2j + 8k
Magnitude of displacement is calculated by -
|AB| = √(2² + 2² + 8²)
|AB| = √(4 + 4 + 64)
|AB| = √(72)
|AB| = 2√18
|AB| = 8.48 m
From the options, 8.5 m is the most appropriate.
Thanks dear...
Answer:
Answer:
◆ Answer -
(d) |AB| = 8.5 m
● Explaination -
Let i, j & k be unit vectors along X-axis, Y-axis & Z-axis.
A = i + 2j - 3k
B = 3i + 4j + 5k
Displacement of the man is calculated by -
AB = B - A
AB = (3i + 4j + 5k) - ( i + 2j - 3k)
AB = 2i + 2j + 8k
Magnitude of displacement is calculated by -
|AB| = √(2² + 2² + 8²)
|AB| = √(4 + 4 + 64)
|AB| = √(72)
|AB| = 2√18
|AB| = 8.48 m
From the options, 8.5 m is the most appropriate.