why work has only magnitude and not direction because if we see the formula W =F ×s...and force and distance has both direction amd magnitude so why work has only direction....
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Heya user !!!
Here's the answer you are looking for
Work is the dot product of F and s.
Dot product of 2 vectors give rise to a scalar quantity which has no direction but only magnitude.
If a and b are 2 vectors then their dot product is,
where alpha is the angle between the 2 vectors.
Since W is a dot product of 2 vectors F and s, it is scalar and has only magnitude.
That's why, we write,
W = F.s = FscosA, where A is the angle between F and s vector.
★★ HOPE THAT HELPS ☺️ ★★
Here's the answer you are looking for
Work is the dot product of F and s.
Dot product of 2 vectors give rise to a scalar quantity which has no direction but only magnitude.
If a and b are 2 vectors then their dot product is,
where alpha is the angle between the 2 vectors.
Since W is a dot product of 2 vectors F and s, it is scalar and has only magnitude.
That's why, we write,
W = F.s = FscosA, where A is the angle between F and s vector.
★★ HOPE THAT HELPS ☺️ ★★
harsh282:
it is nice answer but it is not of my level becuse in my book there is not any dot product and cos etc...so thxx
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