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Question

If a, b, c are vectors show that a + b + c = 0 and
|a| = 3, b = 5, |c| = 7 then angle between vector b and c is

A
60
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B
30
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C
45
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D
90
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Solution

The correct option is D 90

Given, a,b,c are vectors

a+b+c=θ

|a|=3,|b|=5,|c|=7

To find : angle between vector b and c.

a+h+c=0

b+c=a

|b|2+|c|2+2bc=|a|2 [squaring both sides]

25+49+215c|cosθ=|a|2

74+2×5×7cosθ=9

70cosθ=974

cosθ=657014


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