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Question: A particle moves from position \(\vec { r } _ { 1 } = 3 \hat { i } + 2 \hat { j } - 6 \hat { k }\) t...

A particle moves from position r⃗1=3i^+2j^−6k^\vec { r } _ { 1 } = 3 \hat { i } + 2 \hat { j } - 6 \hat { k } to position r⃗2=14i^+13j^+9k^\vec { r } _ { 2 } = 14 \hat { i } + 13 \hat { j } + 9 \hat { k } under the action of force 4i^+j^+3k^N4 \hat { i } + \hat { j } + 3 \hat { k } N The work done will be

A

100 J

B

50 J

C

200 J

D

75 J

Answer

100 J

Explanation

Solution

W=44+11+45=100W = 44 + 11 + 45 = 100 Joule