Question

a force of 6i+12j+8k produce a displacement of 2i+8j+2k. find the work done​

Answer 1

Explanation:

Workdone = Force * Displacement

= (6i+12j+8k)*(2i+8j+2k)

= 12i + 96j + 16k

Answer 2

The work done is 124 unit.

Explanation:

The work done is given as

 $W=F.d$

Here F is the appled force on an object and d is the displacement of the object.

Given F = 6i+12j+8k and d = 2i+8j+2k .

The dot product is given as

i.i = j.j = k.k = 1

and  i.j = j.k = k.i =0.

Substitute these values, in above formula we get

$W=(6i+12j+8k).(2i+8j+2k)$

$W=(6)(2)(i.i)+(12)(8)(j.j)+(8)(2)(k.k)$

W = 12+ 96+ 16

W =  124 unit.

Thus, the work done is 124 unit.

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