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Question

Given A=10 N, B=15 N and angle between them, θ=60. Find the value of |A+B| and |AB| respectively.

A
475 N and 175 N
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B
275 N and 75 N
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C
475 N and 275 N
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D
275 N and 175 N
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Solution

The correct option is A 475 N and 175 N
|A+B|=(10)2+(15)2+2(10)(15)cos(60)
=100+225+2×150×12
=100+225+150
|A+B|=475 N
|AB|=(10)2+(15)22(10)(15)cos(60)
=100+2252×150×12
=100+225150
|AB|=175 N

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