Question

A person pushes a box kept on a horizontal surface with force of 100 N. In unit
vector notation force 7 can be expressed as :
A. 100(i+j)
B. 100(i-j)
C. 50 root2(i-j)
D. 50 root2(i+j)
plz quick answer ​

Answer 1

Answer:

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Answer 2

In unit vector notation force F can be expressed as 50√2(i-j) C.

Given,

Force F = 100 N

Angle θ = 45°

To Find,

Unit vector notation of force F.

Solution,

We know that,

Fx = F cos θ

    = 100 x cos 45°

    = 100 x 1/√2

    = 50√2 (i)

And,

Fy = F sin θ

    = 100 x sin 45°

    = 100 x 1/√2

    = 50√2 (-j)

∴ F = Fx +Fy

     = 50√2 (i) + 50√2 (-j)

     = 50√2 (i-j)

Hence, in unit vector notation force F can be expressed as 50√2(i-j).

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